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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)
|
||
| 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 |
|
Kato Kazuya (Kazuya)
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
| Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (445 pages) : illustrations |
| Disciplina | 512/.73 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Exponential sums
Differential equations |
| Soggetto non controllato |
Adjoint representation
Algebraic geometry Algebraic integer Algebraically closed field Automorphism Base change Bernard Dwork Big O notation Bijection Calculation Characteristic polynomial Codimension Coefficient Cohomology Comparison theorem Complex manifold Conjugacy class Connected component (graph theory) Convolution Determinant Diagram (category theory) Differential Galois theory Differential equation Dimension (vector space) Dimension Direct sum Divisor Eigenvalues and eigenvectors Endomorphism Equation Euler characteristic Existential quantification Exponential sum Fiber bundle Field of fractions Finite field Formal power series Fourier transform Fundamental group Fundamental representation Galois extension Galois group Gauss sum Generic point Group theory Homomorphism Hypergeometric function Identity component Identity element Integer Irreducibility (mathematics) Irreducible representation Isogeny Isomorphism class L-function Laurent polynomial Lie algebra Logarithm Mathematical induction Matrix coefficient Maximal compact subgroup Maximal torus Mellin transform Monic polynomial Monodromy theorem Monodromy Monomial Natural number Normal subgroup P-adic number Permutation Polynomial Prime number Pullback Quotient group Reductive group Regular singular point Representation theory Ring homomorphism Root of unity Scientific notation Set (mathematics) Sheaf (mathematics) Special case Subcategory Subgroup Subring Subset Summation Surjective function Symmetric group Tensor product Theorem Theory Three-dimensional space (mathematics) Torsor (algebraic geometry) Trichotomy (mathematics) Unitarian trick Unitary group Variable (mathematics) |
| ISBN | 1-4008-8243-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References |
| Record Nr. | UNINA-9910154744703321 |
|
Katz Nicholas M.
|
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Ravenel Douglas C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910786749403321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910811911303321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||