ENGLISH

Abelian Varieties

By David Mumford

Book information

Publisher
Oxford University Press, USA
Year
1985
ISBN
0195605284, 9780195605280
LCC
QA564
Language
english
Format
DJVU
Filesize
11 MB (11276118 bytes)
Series
Tata Institute of Fundamental Research, Bombay Studies in Mathematics
Edition
2
Pages
280\289
Topic
Education
Time added
2011-06-04 13:46:07

Description

Now back in print, the revised edition of this popular study gives a systematic account of the basic results about abelian varieties. Mumford describes the analytic methods and results applicable when the ground field k is the complex field C and discusses the scheme-theoretic methods and results used to deal with inseparable isogenies when the ground field k has characteristic p. The author also provides a self-contained proof of the existence of a dual abeilan variety, reviews the structure of the ring of endormorphisms, and includes in appendices "The Theorem of Tate" and the "Mordell-Weil Thorem." This is an established work by an eminent mathematician and the only book on this subject.

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