num_pages: 280
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 andresults 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 theMordell-Weil Thorem. This is an established work by an eminent mathematician and the only book on this subject.
language: English
title: Abelian Varieties
publisher: Oxford University Press