Description

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

Arithmetic Moduli of Elliptic Curves

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    A Paperback / softback by Nicholas M. Katz, Barry Mazur

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 21/02/1985
      ISBN13: 9780691083520, 978-0691083520
      ISBN10: 0691083525
      Also in:
      Mathematics

      Description

      Book Synopsis


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

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