Arithmetic Moduli of Elliptic Curves
Published on 21. February 1985
Book
Paperback/Softback
528 pages
978-0-691-08352-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 31 mm
Weight
854 gr
ISBN-13
978-0-691-08352-0 (9780691083520)
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Schweitzer Classification
Other editions
Additional editions
Nicholas M. Katz | Barry Mazur
Arithmetic Moduli of Elliptic Curves
E-Book
06/2016
1st Edition
Princeton University Press
€150.99
Available for download
Persons
Nicholas M. Katz & Barry Mazur
Content
*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