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Chapter 6. CYCLICITY
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Nicholas M. Katz
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Kapitel in diesem Buch
- Frontmatter i
- TABLE OF CONTENTS v
- INTRODUCTION ix
- Chapter 1. GENERALITIES ON “ A-STRUCTURES” AND “ A-GENERATORS” 1
- Chapter 2. REVIEW OF ELLIPTIC CURVES 63
- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES 98
- Chapter 4. THE FORMALISM OF MODULI PROBLEMS 107
- Chapter 5. REGULARITY THEOREMS 129
- Chapter 6. CYCLICITY 152
- Chapter 7. QUOTIENTS BY FINITE GROUPS 186
- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION 224
- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS 271
- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS 286
- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS 339
- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES 344
- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS 389
- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION 457
- NOTES ADDED IN PROOF 505
- REFERENCES 511
Kapitel in diesem Buch
- Frontmatter i
- TABLE OF CONTENTS v
- INTRODUCTION ix
- Chapter 1. GENERALITIES ON “ A-STRUCTURES” AND “ A-GENERATORS” 1
- Chapter 2. REVIEW OF ELLIPTIC CURVES 63
- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES 98
- Chapter 4. THE FORMALISM OF MODULI PROBLEMS 107
- Chapter 5. REGULARITY THEOREMS 129
- Chapter 6. CYCLICITY 152
- Chapter 7. QUOTIENTS BY FINITE GROUPS 186
- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION 224
- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS 271
- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS 286
- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS 339
- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES 344
- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS 389
- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION 457
- NOTES ADDED IN PROOF 505
- REFERENCES 511