Arithmetic Moduli of Elliptic Curves

Häftad, Engelska, 1985

Del i serien Annals of Mathematics Studies

1 378 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1985-02-21
Mått:152 x 229 x 32 mm
Vikt:848 g
Format:Häftad
Språk:Engelska
Serie:Annals of Mathematics Studies
Antal sidor:528
Förlag:Princeton University Press
ISBN:9780691083520

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

*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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