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Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910786510103321 |
Rubin Karl
|
||
| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910816804403321 |
|
Rubin Karl
|
||
| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz
| Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
| Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
| ISBN |
1-4008-3719-7
0-691-12810-3 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
| Record Nr. | UNINA-9910791746703321 |
|
Schwartz Richard Evan
|
||
| Princeton : , : Princeton University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz
| Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
| Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
| ISBN |
1-4008-3719-7
0-691-12810-3 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
| Record Nr. | UNINA-9910815312903321 |
|
Schwartz Richard Evan
|
||
| Princeton : , : Princeton University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||