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, Band 46, 232 Seiten

Reihe: Princeton Mathematical Series

No detailed description available for "Abelian Varieties with Complex Multiplication and Modular Functions".

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).