Abelian varieties
Author(s)
Bibliographic Information
Abelian varieties
（Tata Institute of Fundamental Research studies in mathematics, 5）
Oxford University Press for the Tata Institute of Fundamental Research, 1974 [i.e. 1975]
2nd ed. / with appendices by C.P. Ramanujam and Yuri Manin
Available at / 30 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:513.8/m9192020934244
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Note
Previous ed.: 1970
Bibliography: p. 276-277
Includes index
Description and Table of Contents
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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