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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
| Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (532 pages) : illustrations |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curves, Elliptic
Moduli theory Geometry, Algebraic |
| Soggetto non controllato |
Abelian variety
Addition Algebraic variety Algebraically closed field Ambient space Arithmetic Axiom Barry Mazur Base change Calculation Canonical map Change of base Closed immersion Coefficient Coherent sheaf Cokernel Commutative property Congruence relation Coprime integers Corollary Cusp form Cyclic group Dense set Diagram (category theory) Dimension Discrete valuation ring Disjoint union Divisor Eigenfunction Elliptic curve Empty set Factorization Field of fractions Finite field Finite group Finite morphism Free module Functor Group (mathematics) Integer Irreducible component Level structure Local ring Maximal ideal Modular curve Modular equation Modular form Moduli space Morphism of schemes Morphism Neighbourhood (mathematics) Noetherian One-parameter group Open problem Prime factor Prime number Prime power Q.E.D. Regularity theorem Representation theory Residue field Riemann hypothesis Smoothness Special case Subgroup Subring Subset Theorem Topology Two-dimensional space Zariski topology |
| ISBN | 1-4008-8171-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES |
| Record Nr. | UNINA-9910154753303321 |
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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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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Higher topos theory [[electronic resource] /] / Jacob Lurie
| Higher topos theory [[electronic resource] /] / Jacob Lurie |
| Autore | Lurie Jacob <1977-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (944 p.) |
| Disciplina | 512/.62 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Toposes
Categories (Mathematics) |
| Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
| ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
| Classificazione |
SI 830
SK 320 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
| Record Nr. | UNINA-9910784939903321 |
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Lurie Jacob <1977->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
| K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak |
| Autore | Bak Anthony |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
K-theory
Modules (Algebra) Forms (Mathematics) |
| Soggetto non controllato |
Abelian group
Addition Algebraic K-theory Algebraic topology Approximation Arithmetic Canonical map Coefficient Cokernel Computation Coprime integers Coset Direct limit Direct product Division ring Elementary matrix Exact sequence Finite group Finite ring Free module Functor General linear group Global field Group homomorphism Group ring Homology (mathematics) Integer Invertible matrix Isomorphism class K-theory Linear map Local field Matrix group Maxima and minima Mayer–Vietoris sequence Module (mathematics) Monoid Morphism Natural transformation Normal subgroup P-group Parameter Power of two Product category Projective module Quadratic form Requirement Ring of integers Semisimple algebra Sesquilinear form Special case Steinberg group (K-theory) Steinberg group Subcategory Subgroup Subspace topology Surjective function Theorem Theory Topological group Topological ring Topology Torsion subgroup Triviality (mathematics) Unification (computer science) Unitary group Witt group |
| ISBN | 1-4008-8141-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154747603321 |
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Bak Anthony
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
| Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel |
| Autore | Ravenel Douglas C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (225 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Homotopy theory |
| Soggetto non controllato |
Abelian category
Abelian group Adams spectral sequence Additive category Affine space Algebra homomorphism Algebraic closure Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Atiyah–Hirzebruch spectral sequence Automorphism Boolean algebra (structure) CW complex Canonical map Cantor set Category of topological spaces Category theory Classification theorem Classifying space Cohomology operation Cohomology Cokernel Commutative algebra Commutative ring Complex projective space Complex vector bundle Computation Conjecture Conjugacy class Continuous function Contractible space Coproduct Differentiable manifold Disjoint union Division algebra Equation Explicit formulae (L-function) Functor G-module Groupoid Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hurewicz theorem Inclusion map Infinite product Integer Inverse limit Irreducible representation Isomorphism class K-theory Loop space Mapping cone (homological algebra) Mathematical induction Modular representation theory Module (mathematics) Monomorphism Moore space Morava K-theory Morphism N-sphere Noetherian ring Noetherian Noncommutative ring Number theory P-adic number Piecewise linear manifold Polynomial ring Polynomial Power series Prime number Principal ideal domain Profinite group Reduced homology Ring (mathematics) Ring homomorphism Ring spectrum Simplicial complex Simply connected space Smash product Special case Spectral sequence Steenrod algebra Sub"ient Subalgebra Subcategory Subring Symmetric group Tensor product Theorem Topological space Topology Vector bundle Zariski topology |
| ISBN | 1-4008-8248-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index |
| Record Nr. | UNINA-9910154751603321 |
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Ravenel Douglas C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
| Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport |
| Autore | Rapoport Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (347 pages) |
| Disciplina | 512.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
p-divisible groups
Moduli theory p-adic groups |
| Soggetto non controllato |
Abelian variety
Addition Alexander Grothendieck Algebraic closure Algebraic number field Algebraic space Algebraically closed field Artinian ring Automorphism Base change Basis (linear algebra) Big O notation Bilinear form Canonical map Cohomology Cokernel Commutative algebra Commutative ring Complex multiplication Conjecture Covering space Degenerate bilinear form Diagram (category theory) Dimension (vector space) Dimension Duality (mathematics) Elementary function Epimorphism Equation Existential quantification Fiber bundle Field of fractions Finite field Formal scheme Functor Galois group General linear group Geometric invariant theory Hensel's lemma Homomorphism Initial and terminal objects Inner automorphism Integral domain Irreducible component Isogeny Isomorphism class Linear algebra Linear algebraic group Local ring Local system Mathematical induction Maximal ideal Maximal torus Module (mathematics) Moduli space Monomorphism Morita equivalence Morphism Multiplicative group Noetherian ring Open set Orthogonal basis Orthogonal complement Orthonormal basis P-adic number Parity (mathematics) Period mapping Prime element Prime number Projective line Projective space Quaternion algebra Reductive group Residue field Rigid analytic space Semisimple algebra Sheaf (mathematics) Shimura variety Special case Subalgebra Subgroup Subset Summation Supersingular elliptic curve Support (mathematics) Surjective function Symmetric bilinear form Symmetric space Tate module Tensor algebra Tensor product Theorem Topological ring Topology Torsor (algebraic geometry) Uniformization theorem Uniformization Unitary group Weil group Zariski topology |
| ISBN | 1-4008-8260-5 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754603321 |
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Rapoport Michael
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
| Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz |
| Autore | Shatz Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homology theory
Finite groups Algebraic number theory |
| Soggetto non controllato |
Abelian group
Alexander Grothendieck Algebraic closure Algebraic extension Algebraic geometry Algebraic number field Brauer group Category of abelian groups Category of sets Characterization (mathematics) Class field theory Cohomological dimension Cohomology Cokernel Commutative diagram Composition series Computation Connected component (graph theory) Coset Cup product Dedekind domain Degeneracy (mathematics) Diagram (category theory) Dimension (vector space) Diophantine geometry Discrete group Equivalence of categories Exact sequence Existential quantification Explicit formula Exponential function Family of sets Field extension Finite group Fundamental class G-module Galois cohomology Galois extension Galois group Galois module Galois theory General topology Geometry Grothendieck topology Group cohomology Group extension Group scheme Group theory Hilbert symbol Hopf algebra Ideal (ring theory) Inequality (mathematics) Injective sheaf Inner automorphism Inverse limit Kummer theory Lie algebra Linear independence Local field Mathematical induction Mathematician Mathematics Module (mathematics) Morphism Natural topology Neighbourhood (mathematics) Normal extension Normal subgroup Number theory P-adic number P-group Polynomial Pontryagin duality Power series Prime number Principal ideal Profinite group Quadratic reciprocity Quotient group Ring of integers Sheaf (mathematics) Special case Subcategory Subgroup Supernatural number Sylow theorems Tangent space Theorem Topological group Topological property Topological ring Topological space Topology Torsion group Torsion subgroup Transcendence degree Triviality (mathematics) Unique factorization domain Variable (mathematics) Vector space |
| ISBN | 1-4008-8185-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154751103321 |
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Shatz Stephen S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910786749103321 |
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Morgan John W. <1946->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910828604403321 |
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Morgan John W. <1946->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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