Annals of Mathematics Studies
eBook - PDF

Annals of Mathematics Studies

  1. 528 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Annals of Mathematics Studies

Book details
Table of contents
Citations

About This Book

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld.

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Yes, you can access Annals of Mathematics Studies by Nicholas M. Katz,Barry Mazur in PDF and/or ePUB format, as well as other popular books in Mathematik & Algebraische Geometrie. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Princeton University Press
Year
2016
ISBN
9781400881710
Topic
Mathematik
Subtopic
Algebraische Geometrie

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. TABLE OF CONTENTS
  5. INTRODUCTION
  6. Chapter 1: GENERALITIES ON "A-STRUCTURES" AND "A-GENERATORS"
  7. Chapter 2: REVIEW OF ELLIPTIC CURVES
  8. Chapter 3: THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES
  9. Chapter 4: THE FORMALISM OF MODULI PROBLEMS
  10. Chapter 5: Regularity theorems
  11. Chapter 6: CYCLICITY
  12. Chapter 7: QUOTIENTS BY FINITE GROUPS
  13. Chapter 8: COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATIONS
  14. Chapter 9: MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS
  15. Chapter 10: THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N] AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS
  16. Chapter 11 : INTERLUDE: EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS
  17. Chapter 12: NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES
  18. Chapter 13: REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS
  19. Chapter 14: APPLICATION TO THEOREMS OF GOOD REDUCTION
  20. NOTES ADDED IN PROOF
  21. REFERENCES