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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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Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors
| Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Arithmetical algebraic geometry
Abelian varieties Coding theory Cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8200-7
0-8218-4955-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Differentially 4-uniform functions / Yves Aubry and François Rodier -- Computing Hironaka's variants : Ridge and directrix / Jérémy Berthomieu, Pascal Hivert and Hussein Mourtada -- Nondegenerate curves of low genus over small finite fields / Wouter Castryck and John Voight -- Faster side-channel resistant elliptic curve scalar multiplication / Alexandre Venelli and François Dassance -- Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur F[subscript 2m] avec m pair / Eric Férard and François Rodier -- A note on a maximal curve / Arnaldo Garcia and Henning Stichtenoth -- Computing Humbert surfaces and applications / David Gruenewald -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 / Enric Nart and Christophe Ritzenthaler -- Uniqueness of low genus optimal curves over F₂ / Alessandra Rigato -- Group order formulas for reductions of CM elliptic curves / Alice Silverberg -- Families of explicit isogenies of hyperelliptic Jacobians / Benjamin Smith -- Computing congruences of modular forms and Galois representations modulo prime powers / Xavier Taixés i Ventosa and Gabor Wiese. |
| Record Nr. | UNINA-9910480104503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors
| Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Arithmetical algebraic geometry
Abelian varieties Coding theory Cryptography |
| ISBN |
0-8218-8200-7
0-8218-4955-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Differentially 4-uniform functions / Yves Aubry and François Rodier -- Computing Hironaka's variants : Ridge and directrix / Jérémy Berthomieu, Pascal Hivert and Hussein Mourtada -- Nondegenerate curves of low genus over small finite fields / Wouter Castryck and John Voight -- Faster side-channel resistant elliptic curve scalar multiplication / Alexandre Venelli and François Dassance -- Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur F[subscript 2m] avec m pair / Eric Férard and François Rodier -- A note on a maximal curve / Arnaldo Garcia and Henning Stichtenoth -- Computing Humbert surfaces and applications / David Gruenewald -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 / Enric Nart and Christophe Ritzenthaler -- Uniqueness of low genus optimal curves over F₂ / Alessandra Rigato -- Group order formulas for reductions of CM elliptic curves / Alice Silverberg -- Families of explicit isogenies of hyperelliptic Jacobians / Benjamin Smith -- Computing congruences of modular forms and Galois representations modulo prime powers / Xavier Taixés i Ventosa and Gabor Wiese. |
| Record Nr. | UNINA-9910788632003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors
| Arithmetic, geometry, cryptography, and coding theory 2009 : 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, March 30-April 3, 2009, Marseille, France : Geocrypt Conference, April 27-May 1, 2009, Pointe-à-Pitre, Guadeloupe, France : European Science Foundation Exploratory Workshop, Curves, Coding Theory, and Cryptography, March 25-29, 2009, Marseille, France / / David Kohel, Robert Rolland, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Arithmetical algebraic geometry
Abelian varieties Coding theory Cryptography |
| ISBN |
0-8218-8200-7
0-8218-4955-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Differentially 4-uniform functions / Yves Aubry and François Rodier -- Computing Hironaka's variants : Ridge and directrix / Jérémy Berthomieu, Pascal Hivert and Hussein Mourtada -- Nondegenerate curves of low genus over small finite fields / Wouter Castryck and John Voight -- Faster side-channel resistant elliptic curve scalar multiplication / Alexandre Venelli and François Dassance -- Non linéarité des fonctions booléennes données par des polynômes de degré binaire 3 définies sur F[subscript 2m] avec m pair / Eric Férard and François Rodier -- A note on a maximal curve / Arnaldo Garcia and Henning Stichtenoth -- Computing Humbert surfaces and applications / David Gruenewald -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 / Enric Nart and Christophe Ritzenthaler -- Uniqueness of low genus optimal curves over F₂ / Alessandra Rigato -- Group order formulas for reductions of CM elliptic curves / Alice Silverberg -- Families of explicit isogenies of hyperelliptic Jacobians / Benjamin Smith -- Computing congruences of modular forms and Galois representations modulo prime powers / Xavier Taixés i Ventosa and Gabor Wiese. |
| Record Nr. | UNINA-9910809227403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomization of passage from "local" structure to "global" object / / Paul Feit
| Axiomization of passage from "local" structure to "global" object / / Paul Feit |
| Autore | Feit Paul <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Algebraic
Categories (Mathematics) Toposes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0062-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""INDEX OF TERMS""; ""PART I: TERMINOLOGY""; ""1. Standard Notations""; ""2. Grothendieck Topologies""; ""PART II: CANOPIES""; ""3. The Category of Canopies""; ""4. Lifting a Universe of Subsets to Canopies""; ""5. A Topology for Canopies""; ""6. Functorial Properties of Canopies""; ""PART III: CANOPIES AND COLIMITS""; ""7. Monomorphisms""; ""8. Graph Reductions""; ""9. Absolute Covers and Limits in C[sup(P)]""; ""10. Pullback Systems""; ""PART IV: SMOOTHING""; ""11. The Smoothing Functor""; ""12. Plus Functors and Topological Properties""
""13. Functorial Properties and Smoothing""""PART V: LOCAL AND GLOBAL STRUCTURES""; ""14. The Local and Global Axioms""; ""15. Lifting Layered Morphisms""; ""16. The Plus Topology""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480745603321 |
|
Feit Paul <1959->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomization of passage from "local" structure to "global" object / / Paul Feit
| Axiomization of passage from "local" structure to "global" object / / Paul Feit |
| Autore | Feit Paul <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Algebraic
Categories (Mathematics) Toposes |
| ISBN | 1-4704-0062-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""INDEX OF TERMS""; ""PART I: TERMINOLOGY""; ""1. Standard Notations""; ""2. Grothendieck Topologies""; ""PART II: CANOPIES""; ""3. The Category of Canopies""; ""4. Lifting a Universe of Subsets to Canopies""; ""5. A Topology for Canopies""; ""6. Functorial Properties of Canopies""; ""PART III: CANOPIES AND COLIMITS""; ""7. Monomorphisms""; ""8. Graph Reductions""; ""9. Absolute Covers and Limits in C[sup(P)]""; ""10. Pullback Systems""; ""PART IV: SMOOTHING""; ""11. The Smoothing Functor""; ""12. Plus Functors and Topological Properties""
""13. Functorial Properties and Smoothing""""PART V: LOCAL AND GLOBAL STRUCTURES""; ""14. The Local and Global Axioms""; ""15. Lifting Layered Morphisms""; ""16. The Plus Topology""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788879703321 |
|
Feit Paul <1959->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomization of passage from "local" structure to "global" object / / Paul Feit
| Axiomization of passage from "local" structure to "global" object / / Paul Feit |
| Autore | Feit Paul <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Algebraic
Categories (Mathematics) Toposes |
| ISBN | 1-4704-0062-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""INDEX OF TERMS""; ""PART I: TERMINOLOGY""; ""1. Standard Notations""; ""2. Grothendieck Topologies""; ""PART II: CANOPIES""; ""3. The Category of Canopies""; ""4. Lifting a Universe of Subsets to Canopies""; ""5. A Topology for Canopies""; ""6. Functorial Properties of Canopies""; ""PART III: CANOPIES AND COLIMITS""; ""7. Monomorphisms""; ""8. Graph Reductions""; ""9. Absolute Covers and Limits in C[sup(P)]""; ""10. Pullback Systems""; ""PART IV: SMOOTHING""; ""11. The Smoothing Functor""; ""12. Plus Functors and Topological Properties""
""13. Functorial Properties and Smoothing""""PART V: LOCAL AND GLOBAL STRUCTURES""; ""14. The Local and Global Axioms""; ""15. Lifting Layered Morphisms""; ""16. The Plus Topology""; ""REFERENCES"" |
| Record Nr. | UNINA-9910817226003321 |
|
Feit Paul <1959->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco
| The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco |
| Autore | Canonaco Alberto <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Schemes (Algebraic geometry)
Projective spaces Geometry, Algebraic Commutative rings Abelian categories |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0466-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Graded schemes""; ""1.1. Graded rings and modules""; ""1.2. Modules versus graded modules""; ""1.3. Graded schemes""; ""1.4. Good graded schemes""; ""1.5. Proj of a noetherian positively graded ring""; ""1.6. Graded schemes and algebraic stacks""; ""Chapter 2. Beilinson's theorem on P(w)""; ""2.1. Koszul complex and sheaves of differentials""; ""2.2. The theorem as equivalence of categories""; ""2.3. Morphisms between sheaves of differentials""; ""2.4. Uniqueness of the minimal resolution""; ""2.5. Explicit form of the minimal resolution""
""Appendix A. Abelian categories and derived categories""""A.1. Quotient of an abelian category""; ""A.2. Triangulated categories""; ""A.3. Derived categories""; ""A.4. Derived functors""; ""A.5. Some related results""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480516603321 |
|
Canonaco Alberto <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco
| The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco |
| Autore | Canonaco Alberto <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Schemes (Algebraic geometry)
Projective spaces Geometry, Algebraic Commutative rings Abelian categories |
| ISBN | 1-4704-0466-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Graded schemes""; ""1.1. Graded rings and modules""; ""1.2. Modules versus graded modules""; ""1.3. Graded schemes""; ""1.4. Good graded schemes""; ""1.5. Proj of a noetherian positively graded ring""; ""1.6. Graded schemes and algebraic stacks""; ""Chapter 2. Beilinson's theorem on P(w)""; ""2.1. Koszul complex and sheaves of differentials""; ""2.2. The theorem as equivalence of categories""; ""2.3. Morphisms between sheaves of differentials""; ""2.4. Uniqueness of the minimal resolution""; ""2.5. Explicit form of the minimal resolution""
""Appendix A. Abelian categories and derived categories""""A.1. Quotient of an abelian category""; ""A.2. Triangulated categories""; ""A.3. Derived categories""; ""A.4. Derived functors""; ""A.5. Some related results""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788742503321 |
|
Canonaco Alberto <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco
| The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco |
| Autore | Canonaco Alberto <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Schemes (Algebraic geometry)
Projective spaces Geometry, Algebraic Commutative rings Abelian categories |
| ISBN | 1-4704-0466-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Graded schemes""; ""1.1. Graded rings and modules""; ""1.2. Modules versus graded modules""; ""1.3. Graded schemes""; ""1.4. Good graded schemes""; ""1.5. Proj of a noetherian positively graded ring""; ""1.6. Graded schemes and algebraic stacks""; ""Chapter 2. Beilinson's theorem on P(w)""; ""2.1. Koszul complex and sheaves of differentials""; ""2.2. The theorem as equivalence of categories""; ""2.3. Morphisms between sheaves of differentials""; ""2.4. Uniqueness of the minimal resolution""; ""2.5. Explicit form of the minimal resolution""
""Appendix A. Abelian categories and derived categories""""A.1. Quotient of an abelian category""; ""A.2. Triangulated categories""; ""A.3. Derived categories""; ""A.4. Derived functors""; ""A.5. Some related results""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910819098403321 |
|
Canonaco Alberto <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
