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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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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
| Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
| Autore | Friedlander Eric M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (193 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
| Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
| ISBN | 1-4008-8149-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154744803321 |
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Friedlander Eric M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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