Chapter 4. THE FORMALISM OF MODULI PROBLEMS

Chapters in this book

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