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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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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman
| Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman |
| Autore | Birman Joan S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (241 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Braid theory
Knot theory Representations of groups |
| Soggetto non controllato |
Addition
Alexander polynomial Algebraic structure Automorphism Ball (mathematics) Bijection Braid group Braid theory Branched covering Burau representation Calculation Cartesian coordinate system Characterization (mathematics) Coefficient Combinatorial group theory Commutative property Commutator subgroup Configuration space Conjugacy class Corollary Covering space Dehn twist Determinant Diagram (category theory) Dimension Disjoint union Double coset Eigenvalues and eigenvectors Enumeration Equation Equivalence class Exact sequence Existential quantification Faithful representation Finite set Free abelian group Free group Fundamental group Geometry Group (mathematics) Group ring Groupoid Handlebody Heegaard splitting Homeomorphism Homomorphism Homotopy group Homotopy Identity element Identity matrix Inclusion map Initial point Integer matrix Integer Knot polynomial Knot theory Lens space Line segment Line–line intersection Link group Low-dimensional topology Mapping class group Mathematical induction Mathematics Matrix group Matrix representation Monograph Morphism Natural transformation Normal matrix Notation Orientability Parity (mathematics) Permutation Piecewise linear Pointwise Polynomial Prime knot Projection (mathematics) Proportionality (mathematics) Quotient group Requirement Rewriting Riemann surface Semigroup Sequence Special case Subgroup Submanifold Subset Symmetric group Theorem Theory Topology Trefoil knot Two-dimensional space Unimodular matrix Unit vector Variable (mathematics) Word problem (mathematics) |
| ISBN | 1-4008-8142-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BRAID GROUPS -- CHAPTER 2. BRAIDS AND LINKS -- CHAPTER 3. MAGNUS REPRESENTATIONS -- CHAPTER 4. MAPPING CLASS GROUPS -- CHAPTER 5. PLATS AND LINKS -- APPENDIX: RESEARCH PROBLEMS -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154753103321 |
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Birman Joan S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
| Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
| Autore | Lusztig George |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (408 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
| Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
| ISBN | 1-4008-8177-3 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154752803321 |
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Lusztig George
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller
| On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller |
| Autore | Miller Charles F. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (121 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Group theory
Logic, Symbolic and mathematical |
| Soggetto non controllato |
Abelian group
Betti number Characteristic function (probability theory) Characterization (mathematics) Combinatorial group theory Conjecture Conjugacy class Conjugacy problem Contradiction Corollary Cyclic permutation Decision problem Diffeomorphism Direct product Direct proof Effective method Elementary class Embedding Enumeration Epimorphism Equation Equivalence relation Exact sequence Existential quantification Finite group Finite set Finitely generated group Finitely presented Free group Free product Fundamental group Fundamental theorem Group (mathematics) Group theory Gödel numbering Homomorphism Homotopy Inner automorphism Markov property Mathematical logic Mathematical proof Mathematics Monograph Natural number Nilpotent group Normal subgroup Notation Permutation Polycyclic group Presentation of a group Quotient group Recursive set Requirement Residually finite group Semigroup Simple set Simplicial complex Solvable group Statistical hypothesis testing Subgroup Theorem Theory Topology Transitive relation Triviality (mathematics) Truth table Turing degree Turing machine Without loss of generality Word problem (mathematics) |
| ISBN | 1-4008-8178-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. PROPERTIES OF BRITTON EXTENSIONS -- CHAPTER III. UNSOLVABILITY RESULTS FOR RESIDUALLY FINITE GROUPS -- CHAPTER IV. THE WORD AND CONJUGACY PROBLEMS FOR CERTAIN ELEMENTARY GROUPS -- CHAPTER V. ON THE ISOMORPHISM PROBLEM FOR GROUPS -- LIST OF REFERENCES -- INDEX OF SYMBOLS -- INDEX |
| Record Nr. | UNINA-9910154751403321 |
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Miller Charles F.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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