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) | ||
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 |
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 |
Kato Kazuya (Kazuya) | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos |
Autore | Halmos Paul R (Paul Richard), <1916-2006, > |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (206 pages) |
Disciplina | 512.52 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Transformations (Mathematics)
Generalized spaces |
Soggetto non controllato |
Absolute value
Accuracy and precision Addition Affine space Algebraic closure Algebraic equation Algebraic operation Algebraically closed field Associative property Automorphism Axiom Banach space Basis (linear algebra) Bilinear form Bounded operator Cardinal number Cayley transform Characteristic equation Characterization (mathematics) Coefficient Commutative property Complex number Complex plane Computation Congruence relation Convex set Coordinate system Determinant Diagonal matrix Dimension (vector space) Dimension Dimensional analysis Direct product Direct proof Direct sum Division by zero Dot product Dual basis Eigenvalues and eigenvectors Elementary proof Equation Euclidean space Existential quantification Function of a real variable Functional calculus Fundamental theorem Geometry Gram–Schmidt process Hermitian matrix Hilbert space Infimum and supremum Jordan normal form Lebesgue integration Linear combination Linear function Linear independence Linear map Linear programming Linearity Manifold Mathematical induction Mathematics Minimal polynomial (field theory) Minor (linear algebra) Monomial Multiplication sign Natural number Nilpotent Normal matrix Normal operator Number theory Orthogonal basis Orthogonal complement Orthogonal coordinates Orthogonality Orthonormality Polynomial Quotient space (linear algebra) Quotient space (topology) Real number Real variable Scalar (physics) Scientific notation Series (mathematics) Set (mathematics) Sign (mathematics) Special case Spectral theorem Spectral theory Summation Tensor calculus Theorem Topology Transitive relation Unbounded operator Uncountable set Unit sphere Unitary transformation Variable (mathematics) Vector space |
ISBN | 1-4008-8223-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
Record Nr. | UNINA-9910154744503321 |
Halmos Paul R (Paul Richard), <1916-2006, > | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
Autore | Auslander Louis |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (121 pages) |
Disciplina | 516 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Topological dynamics |
Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
ISBN | 1-4008-8202-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154748203321 |
Auslander Louis | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Katz Nicholas M. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Lie Groups / Luiz A. B. San Martin ; Translated from the Portuguese by José Emílio Maiorino and Carlos Augusto Bassani Varea |
Autore | San Martin, Luiz A. B. |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xiv, 371 p. : ill. ; 24 cm |
Soggetto topico |
22-XX - Topological groups, Lie groups [MSC 2020]
17B30 - Solvable, nilpotent (super)algebras [MSC 2020] 22E46 - Semisimple Lie groups and their representations [MSC 2020] 22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods [MSC 2020] 22E25 - Nilpotent and solvable Lie groups [MSC 2020] 17B05 - Structure theory for Lie algebras and superalgebras [MSC 2020] 17B20 - Simple, semisimple, reductive (super)algebras [MSC 2020] 22E60 - Lie algebras of Lie groups [MSC 2020] 22Cxx - Compact groups [MSC 2020] 17B22 - Root systems [MSC 2020] |
Soggetto non controllato |
Compact groups
Enveloping algebras Haar measure Homomorphism Lie Algebras Lie group action Lie groups Nilpotent Topological groups |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0274881 |
San Martin, Luiz A. B. | ||
Cham, : Springer, 2021 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Lie Groups / Luiz A. B. San Martin ; Translated from the Portuguese by José Emílio Maiorino and Carlos Augusto Bassani Varea |
Autore | San Martin, Luiz A. B. |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xiv, 371 p. : ill. ; 24 cm |
Soggetto topico |
17B05 - Structure theory for Lie algebras and superalgebras [MSC 2020]
17B20 - Simple, semisimple, reductive (super)algebras [MSC 2020] 17B22 - Root systems [MSC 2020] 17B30 - Solvable, nilpotent (super)algebras [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 22Cxx - Compact groups [MSC 2020] 22E25 - Nilpotent and solvable Lie groups [MSC 2020] 22E45 - Representations of Lie and linear algebraic groups over real fields: analytic methods [MSC 2020] 22E46 - Semisimple Lie groups and their representations [MSC 2020] 22E60 - Lie algebras of Lie groups [MSC 2020] |
Soggetto non controllato |
Compact groups
Enveloping algebras Haar measure Homomorphism Lie Algebras Lie group action Lie groups Nilpotent Topological groups |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00274881 |
San Martin, Luiz A. B. | ||
Cham, : Springer, 2021 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer |
Autore | Laufer Henry B. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (177 pages) : illustrations |
Disciplina | 515/.92/23 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Analytic spaces
Singularities (Mathematics) |
Soggetto non controllato |
Analytic function
Analytic set Analytic space Automorphism Bernhard Riemann Big O notation Calculation Chern class Codimension Coefficient Cohomology Compact Riemann surface Complex manifold Computation Connected component (graph theory) Continuous function Contradiction Coordinate system Corollary Covering space Dimension Disjoint union Divisor Dual graph Elliptic curve Elliptic function Embedding Existential quantification Factorization Fiber bundle Finite set Formal power series Hausdorff space Holomorphic function Homeomorphism Homology (mathematics) Intersection (set theory) Intersection number (graph theory) Inverse limit Irreducible component Isolated singularity Iteration Lattice (group) Line bundle Linear combination Line–line intersection Local coordinates Local ring Mathematical induction Maximal ideal Meromorphic function Monic polynomial Nilpotent Normal bundle Open set Parameter Plane curve Pole (complex analysis) Power series Presheaf (category theory) Projective line Quadratic transformation Quantity Riemann surface Riemann–Roch theorem Several complex variables Submanifold Subset Tangent bundle Tangent space Tensor algebra Theorem Topological space Transition function Two-dimensional space Variable (mathematics) Zero divisor Zero of a function Zero set |
ISBN | 1-4008-8174-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER IV. EXCEPTIONAL SETS -- CHAPTER V. MINIMAL RESOLUTIONS -- CHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- CHAPTER VII. THE LOCAL RING STRUCTURE -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910154751503321 |
Laufer Henry B. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar |
Autore | Abhyankar Shreeram Shankar |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (117 pages) |
Disciplina | 512.815 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Algebraic fields
Geometry, Algebraic |
Soggetto non controllato |
Abelian group
Abstract algebra Additive group Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic function field Algebraic function Algebraic geometry Algebraic number theory Algebraic surface Algebraic variety Big O notation Birational geometry Branch point Cardinal number Cardinality Complex number Degrees of freedom (statistics) Dimension Equation Equivalence class Existential quantification Field extension Field of fractions Foundations of Algebraic Geometry Function field Galois group Generic point Ground field Homomorphism Ideal theory Integer Irrational number Irreducible component Linear algebra Local ring Mathematics Max Noether Maximal element Maximal ideal Natural number Nilpotent Noetherian ring Null set Order by Order type Parameter Primary ideal Prime ideal Prime number Projective variety Quantity Quotient ring Ramification group Rational function Rational number Real number Resolution of singularities Riemann surface Ring (mathematics) Special case Splitting field Subgroup Subset Theorem Theory of equations Transcendence degree Two-dimensional space Uniformization Valuation ring Variable (mathematics) Vector space Zero divisor Zorn's lemma |
ISBN | 1-4008-8139-0 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154754403321 |
Abhyankar Shreeram Shankar | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|