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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 | ||
| ||
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
| The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu |
| Autore | Wu Hung-his |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (252 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Value distribution theory
Analytic functions Functions, Meromorphic |
| Soggetto non controllato |
Addition
Algebraic curve Algebraic number Atlas (topology) Binomial coefficient Cauchy–Riemann equations Compact Riemann surface Compact space Complex manifold Complex projective space Computation Continuous function (set theory) Covariant derivative Critical value Curvature form Diagram (category theory) Differential form Differential geometry of surfaces Differential geometry Dimension Divisor Essential singularity Euler characteristic Existential quantification Fiber bundle Gaussian curvature Geodesic curvature Geometry Grassmannian Harmonic function Hermann Weyl Hermitian manifold Holomorphic function Homology (mathematics) Hyperbolic manifold Hyperplane Hypersurface Improper integral Intersection number (graph theory) Isometry Line integral Manifold Meromorphic function Minimal surface Nevanlinna theory One-form Open problem Open set Orthogonal complement Parameter Picard theorem Product metric Q.E.D. Remainder Riemann sphere Riemann surface Smoothness Special case Submanifold Subset Tangent space Tangent Theorem Three-dimensional space (mathematics) Unit circle Unit vector Vector field Volume element Volume form |
| ISBN | 1-4008-8190-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions |
| Record Nr. | UNINA-9910154750103321 |
|
Wu Hung-his
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
| Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera |
| Autore | Kumpera Antonio |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Lie groups
Lie algebras Differential equations |
| Soggetto non controllato |
Adjoint representation
Adjoint Affine transformation Alexander Grothendieck Analytic function Associative algebra Atlas (topology) Automorphism Bernhard Riemann Big O notation Bundle map Category of topological spaces Cauchy–Riemann equations Coefficient Commutative diagram Commutator Complex conjugate Complex group Complex manifold Computation Conformal map Continuous function Coordinate system Corollary Cotangent bundle Curvature tensor Deformation theory Derivative Diagonal Diffeomorphism Differentiable function Differential form Differential operator Differential structure Direct proof Direct sum Ellipse Endomorphism Equation Exact sequence Exactness Existential quantification Exponential function Exponential map (Riemannian geometry) Exterior derivative Fiber bundle Fibration Frame bundle Frobenius theorem (differential topology) Frobenius theorem (real division algebras) Group isomorphism Groupoid Holomorphic function Homeomorphism Integer J-invariant Jacobian matrix and determinant Jet bundle Linear combination Linear map Manifold Maximal ideal Model category Morphism Nonlinear system Open set Parameter Partial derivative Partial differential equation Pointwise Presheaf (category theory) Pseudo-differential operator Pseudogroup Quantity Regular map (graph theory) Requirement Riemann surface Right inverse Scalar multiplication Sheaf (mathematics) Special case Structure tensor Subalgebra Subcategory Subgroup Submanifold Subset Tangent bundle Tangent space Tangent vector Tensor field Tensor product Theorem Torsion tensor Transpose Variable (mathematics) Vector bundle Vector field Vector space Volume element |
| ISBN | 1-4008-8173-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index |
| Record Nr. | UNINA-9910154751903321 |
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Kumpera Antonio
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy
| Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy |
| Autore | Thurston William P. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
| Descrizione fisica | 1 online resource (312 pages) : illustrations |
| Disciplina | 516/.07 |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Geometry, Hyperbolic
Three-manifolds (Topology) |
| Soggetto non controllato |
3-sphere
Abelian group Affine space Affine transformation Atlas (topology) Automorphism Basis (linear algebra) Bounded set (topological vector space) Brouwer fixed-point theorem Cartesian coordinate system Characterization (mathematics) Compactification (mathematics) Conformal map Contact geometry Curvature Cut locus (Riemannian manifold) Diagram (category theory) Diffeomorphism Differentiable manifold Dimension (vector space) Dimension Disk (mathematics) Divisor (algebraic geometry) Dodecahedron Eigenvalues and eigenvectors Embedding Euclidean space Euler number Exterior (topology) Facet (geometry) Fiber bundle Foliation Fundamental group Gaussian curvature Geometry Group homomorphism Half-space (geometry) Holonomy Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperboloid model Interior (topology) Intersection (set theory) Isometry group Isometry Jordan curve theorem Lefschetz fixed-point theorem Lie algebra Lie group Line (geometry) Linear map Linearization Manifold Mathematical induction Metric space Moduli space Möbius transformation Norm (mathematics) Pair of pants (mathematics) Piecewise linear manifold Piecewise linear Poincaré disk model Polyhedron Projection (linear algebra) Projection (mathematics) Pseudogroup Pullback (category theory) Quasi-isometry Quotient space (topology) Riemann mapping theorem Riemann surface Riemannian manifold Sheaf (mathematics) Sign (mathematics) Simplicial complex Simply connected space Special linear group Stokes' theorem Subgroup Subset Tangent space Tangent vector Tetrahedron Theorem Three-dimensional space (mathematics) Topological group Topological manifold Topological space Topology Transversal (geometry) Two-dimensional space Uniformization theorem Unit sphere Variable (mathematics) Vector bundle Vector field |
| ISBN | 1-4008-6532-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Reader's Advisory -- 1 What Is a Manifold? -- 2 Hyperbolic Geometry and Its Friends -- 3 Geometric Manifolds -- 4 The Structure of Discrete Groups -- Glossary -- Bibliography -- Index |
| Record Nr. | UNINA-9910163942403321 |
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Thurston William P.
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| Princeton, NJ : , : Princeton University Press, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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