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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910791746503321 |
Kato Kazuya (Kazuya)
|
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910809577303321 |
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Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten
| Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (565 pages) : illustrations |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Combinatorial group theory
Topology |
| Soggetto non controllato |
Abelian group
Algebraic equation Algebraic integer Automorphism Basis (linear algebra) Betti number Cayley graph Cayley–Hamilton theorem Characteristic polynomial Characteristic subgroup Characterization (mathematics) Classifying space Combinatorial group theory Combinatorics Commutative algebra Commutative property Commutator subgroup Compactification (mathematics) Complement (set theory) Conformal map Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coprime integers Coset Coxeter group Cyclic group Cyclic permutation Degeneracy (mathematics) Dehn's lemma Diagram (category theory) Dirac delta function Disk (mathematics) Epimorphism Equation Euclidean group Finite group Finitely generated abelian group Finitely generated group Free abelian group Free group Freiheitssatz Fuchsian group Function (mathematics) Fundamental domain Fundamental group Fundamental lemma (Langlands program) G-module General linear group Generating set of a group Geodesic Graph (discrete mathematics) Graph of groups Graph product Group theory Haken manifold Harmonic analysis Homological algebra Homology (mathematics) Homomorphism Homotopy Hurwitz's theorem (number theory) Hyperbolic 3-manifold Identity theorem Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Intersection number (graph theory) Intersection number Invertible matrix Jacobian matrix and determinant Knot theory Limit point Mapping class group Mapping cone (homological algebra) Mathematical induction Module (mathematics) Parity (mathematics) Poincaré conjecture Prime number Pullback (category theory) Quotient group Representation theory Residually finite group Riemann surface Seifert–van Kampen theorem Separatrix (mathematics) Set theory Simplicial complex Sphere theorem (3-manifolds) Sphere theorem Subgroup Sylow theorems Theorem Topology Union (set theory) Uniqueness theorem Variable (mathematics) Word problem (mathematics) |
| ISBN | 1-4008-8208-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY / Lyndon, Roger -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / Eckmann, Beno -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY / Howie, James -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / Stallings, John R. -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / Collins, Donald J . -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / Gersten, S. M. -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / Stallings, John R. -- THE TODD-COXETER PROCESS, USING GRAPHS / Stallings, John R. / Wolf, A. Royce -- A SUBGROUP THEOREM FOR PREGROUPS / Rimlinger, Frank -- GROUPS WITH A RATIONAL CROSS-SECTION / Gilman, Robert H. -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / Benson, Max -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / Craggs, Robert / Howie, James -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX / Ratcliffe, John G. -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / Dyer, Micheal -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / Alperin, Roger / Bass, Hyman -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS / Hempel, John -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / Bleiler, Steven A. -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / Nicas, A. J / Stark, C.W. -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / Gilman, Jane -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / Neuwirth, L. / Patterson, N. -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / Birman, Joan S. / Series, Caroline -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / Cohen, Marshall / Lustig, Martin -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / Lustig, Martin -- SELECTED PROBLEMS / Gersten, S. M. -- Backmatter |
| Record Nr. | UNINA-9910154748903321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer
| Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
| Autore | Penner R. C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (233 pages) : illustrations |
| Disciplina | 511/.6 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
| Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
| ISBN | 1-4008-8245-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
| Record Nr. | UNINA-9910154745603321 |
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Penner R. C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne
| Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne |
| Autore | Deligne Pierre |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (196 pages) : illustrations |
| Disciplina | 515/.25 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hypergeometric functions
Monodromy groups Lattice theory |
| Soggetto non controllato |
Abuse of notation
Algebraic variety Analytic continuation Arithmetic group Automorphism Bernhard Riemann Big O notation Codimension Coefficient Cohomology Commensurability (mathematics) Compactification (mathematics) Complete quadrangle Complex number Complex space Conjugacy class Connected component (graph theory) Coprime integers Cube root Derivative Diagonal matrix Differential equation Dimension (vector space) Discrete group Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Ellipse Elliptic curve Equation Existential quantification Fiber bundle Finite group First principle Fundamental group Gelfand Holomorphic function Hypergeometric function Hyperplane Hypersurface Integer Inverse function Irreducible component Irreducible representation Isolated point Isomorphism class Line bundle Linear combination Linear differential equation Local coordinates Local system Locally finite collection Mathematical proof Minkowski space Moduli space Monodromy Morphism Multiplicative group Neighbourhood (mathematics) Open set Orbifold Permutation Picard group Point at infinity Polynomial ring Projective line Projective plane Projective space Root of unity Second derivative Simple group Smoothness Subgroup Subset Symmetry group Tangent space Tangent Theorem Transversal (geometry) Uniqueness theorem Variable (mathematics) Vector space |
| ISBN | 1-4008-8251-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- §1. INTRODUCTION -- §2. PICARD GROUP AND COHOMOLOGY -- §3. COMPUTATIONS FOR Q AND Q+ -- §4. LAURICELLA'S HYPERGEOMETRIC FUNCTIONS -- §5. GELFAND'S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS -- §6. STRICT EXPONENTS -- §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS -- §8. PRELIMINARIES ON MONODROMY GROUPS -- §9. BACKGROUND HEURISTICS -- §10. SOME COMMENSURABILITY THEOREMS -- §11. ANOTHER ISOGENY -- §12. COMMENSURABILITY AND DISCRETENESS -- §13. AN EXAMPLE -- §14. ORBIFOLD -- §15. ELLIPTIC AND EUCLIDEAN μ'S, REVISITED -- §16. LIVNE'S CONSTRUCTION OF LATTICES IN PU(1,2) -- §17. LIN E ARRANGEMENTS: QUESTIONS -- Bibliography |
| Record Nr. | UNINA-9910154745503321 |
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Deligne Pierre
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
| Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin |
| Autore | Guillemin Victor |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (236 pages) : illustrations |
| Disciplina | 523.1/072/4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Cosmology - Mathematical models
Geometry, Differential Lorentz transformations |
| Soggetto non controllato |
Automorphism
Bijection C0 Canonical form Canonical transformation Cauchy distribution Causal structure Cayley transform Codimension Cohomology Cokernel Compactification (mathematics) Complexification (Lie group) Computation Conformal geometry Conformal map Conformal symmetry Connected sum Contact geometry Corank Covariant derivative Covering space Deformation theory Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Einstein field equations Equation Euler characteristic Existential quantification Fiber bundle Fibration Floquet theory Four-dimensional space Fourier integral operator Fourier transform Fundamental group Geodesic Hamilton–Jacobi equation Hilbert space Holomorphic function Holomorphic vector bundle Hyperfunction Hypersurface Integral curve Integral geometry Integral transform Intersection (set theory) Invertible matrix K-finite Lagrangian (field theory) Lie algebra Light cone Linear map Manifold Maxima and minima Minkowski space Module (mathematics) Notation One-parameter group Parametrix Parametrization Principal bundle Product metric Pseudo-differential operator Quadratic equation Quadratic form Quadric Radon transform Riemann surface Riemannian manifold Seifert fiber space Sheaf (mathematics) Siegel domain Simply connected space Submanifold Submersion (mathematics) Support (mathematics) Surjective function Symplectic manifold Symplectic vector space Symplectomorphism Tangent space Tautology (logic) Tensor product Theorem Topological space Topology Two-dimensional space Unit vector Universal enveloping algebra Variable (mathematics) Vector bundle Vector field Vector space Verma module Volume form X-ray transform |
| ISBN | 1-4008-8241-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
| Record Nr. | UNINA-9910154746903321 |
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Guillemin Victor
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
| Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (257 pages) : illustrations |
| Disciplina | 512/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Gaussian sums
Kloosterman sums Homology theory Monodromy groups |
| Soggetto non controllato |
Abelian category
Absolute Galois group Absolute value Additive group Adjoint representation Affine variety Algebraic group Automorphic form Automorphism Big O notation Cartan subalgebra Characteristic polynomial Classification theorem Coefficient Cohomology Cokernel Combination Commutator Compactification (mathematics) Complex Lie group Complex number Conjugacy class Continuous function Convolution theorem Convolution Determinant Diagonal matrix Dimension (vector space) Direct sum Dual basis Eigenvalues and eigenvectors Empty set Endomorphism Equidistribution theorem Estimation Exactness Existential quantification Exponential sum Exterior algebra Faithful representation Finite field Finite group Four-dimensional space Frobenius endomorphism Fundamental group Fundamental representation Galois group Gauss sum Homomorphism Integer Irreducibility (mathematics) Isomorphism class Kloosterman sum L-function Leray spectral sequence Lie algebra Lie theory Maximal compact subgroup Method of moments (statistics) Monodromy theorem Monodromy Morphism Multiplicative group Natural number Nilpotent Open problem P-group Pairing Parameter space Parameter Partially ordered set Perfect field Point at infinity Polynomial ring Prime number Quotient group Representation ring Representation theory Residue field Riemann hypothesis Root of unity Sheaf (mathematics) Simple Lie group Skew-symmetric matrix Smooth morphism Special case Spin representation Subgroup Support (mathematics) Symmetric matrix Symplectic group Symplectic vector space Tensor product Theorem Trace (linear algebra) Trivial representation Variable (mathematics) Weil conjectures Weyl character formula Zariski topology |
| ISBN | 1-4008-8212-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References |
| Record Nr. | UNINA-9910154750003321 |
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Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
| The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris |
| Autore | Harris Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2001] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics
Shimura varieties MATHEMATICS / Number Theory |
| Soggetto non controllato |
Abelian variety
Absolute value Algebraic group Algebraically closed field Artinian Automorphic form Base change Bijection Canonical map Codimension Coefficient Cohomology Compactification (mathematics) Conjecture Corollary Dimension (vector space) Dimension Direct limit Division algebra Eigenvalues and eigenvectors Elliptic curve Embedding Equivalence class Equivalence of categories Existence theorem Field of fractions Finite field Function field Functor Galois cohomology Galois group Generic point Geometry Hasse invariant Infinitesimal character Integer Inverse system Isomorphism class Lie algebra Local class field theory Maximal torus Modular curve Moduli space Monic polynomial P-adic number Prime number Profinite group Residue field Ring of integers Separable extension Sheaf (mathematics) Shimura variety Simple group Special case Spectral sequence Square root Subset Tate module Theorem Transcendence degree Unitary group Valuative criterion Variable (mathematics) Vector space Weil group Weil pairing Zariski topology |
| ISBN | 1-4008-3720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index |
| Record Nr. | UNINA-9910791960703321 |
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Harris Michael
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| Princeton, NJ : , : Princeton University Press, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
| Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic |
| Autore | Todorcevic Stevo |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2010 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 511/.5 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ramsey theory
Algebraic spaces |
| Soggetto non controllato |
Analytic set
Axiom of choice Baire category theorem Baire space Banach space Bijection Binary relation Boolean prime ideal theorem Borel equivalence relation Borel measure Borel set C0 Cantor cube Cantor set Cantor space Cardinality Characteristic function (probability theory) Characterization (mathematics) Combinatorics Compact space Compactification (mathematics) Complete metric space Completely metrizable space Constructible universe Continuous function (set theory) Continuous function Corollary Countable set Counterexample Decision problem Dense set Diagonalization Dimension (vector space) Dimension Discrete space Disjoint sets Dual space Embedding Equation Equivalence relation Existential quantification Family of sets Forcing (mathematics) Forcing (recursion theory) Gap theorem Geometry Ideal (ring theory) Infinite product Lebesgue measure Limit point Lipschitz continuity Mathematical induction Mathematical problem Mathematics Metric space Metrization theorem Monotonic function Natural number Natural topology Neighbourhood (mathematics) Null set Open set Order type Partial function Partially ordered set Peano axioms Point at infinity Pointwise Polish space Probability measure Product measure Product topology Property of Baire Ramsey theory Ramsey's theorem Right inverse Scalar multiplication Schauder basis Semigroup Sequence Sequential space Set (mathematics) Set theory Sperner family Subsequence Subset Subspace topology Support function Symmetric difference Theorem Topological dynamics Topological group Topological space Topology Tree (data structure) Unit interval Unit sphere Variable (mathematics) Well-order Zorn's lemma |
| ISBN |
1-4008-3540-2
9786612645068 1-282-64506-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910791065103321 |
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Todorcevic Stevo
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| Princeton, : Princeton University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning
| Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
| Autore | Gunning Robert C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (108 pages) : illustrations |
| Disciplina | 512.87 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Forms, Modular
Modular functions |
| Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
| ISBN | 1-4008-8166-8 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
| Record Nr. | UNINA-9910154753603321 |
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Gunning Robert C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
