Shimura Abelian Varieties with Complex Multiplication and Modular Functions

(PMS-46)
1. Auflage 2016
ISBN: 978-1-4008-8394-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 232 Seiten

Reihe: Princeton Mathematical Series

Goro Shimura is Professor of Mathematics at Princeton University. He was awarded the Leroy P. Steele Prize in 1996 for lifetime achievement in mathematics by the American Mathematical Society. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton).

Autoren/Hrsg.

Shimura, Goro

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Preface

Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)

Notation and Terminology

Ch. I. Preliminaries on Abelian Varieties

Ch. II. Abelian Varieties with Complex Multiplication

Ch. III. Reduction of Constant Fields

Ch. IV. Construction of Class Fields

Ch. V. The Zeta Function of an Abelian Variety with Complex Multiplication

Ch. VI. Families of Abelian Varieties and Modular Functions

Ch. VII. Theta Functions and Periods on Abelian Varieties

Bibliography

Supplementary References

Index

Über Autor(innen)

Goro Shimura is Professor of Mathematics at Princeton University. He was awarded the Leroy P. Steele Prize in 1996 for lifetime achievement in mathematics by the American Mathematical Society. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton).