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Item Details
Title: ABELIAN VARIETIES
By: David Mumford
Format: Hardback

List price: £31.50


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ISBN 10: 8185931860
ISBN 13: 9788185931869
Publisher: HINDUSTAN BOOK AGENCY
Pub. date: 15 August, 2008
Pages: 263
Description: Gives a systematic account of the basic results about abelian varieties. This book includes expositions of analytic methods applicable over the ground field of complex numbers, as well as of scheme-theoretic methods used to deal with inseparable isogenies when the ground field has positive characteristic.
Synopsis: This is a reprinting of the revised second edition (1974) of David Mumford's classic 1970 book. It gives a systematic account of the basic results about abelian varieties. It includes expositions of analytic methods applicable over the ground field of complex numbers, as well as of scheme-theoretic methods used to deal with inseparable isogenies when the ground field has positive characteristic. A self-contained proof of the existence of the dual abelian variety is given. The structure of the ring of endomorphisms of an abelian variety is discussed. These are appendices on Tate's theorem on endomorphisms of abelian varieties over finite fields (by C. P. Ramanujam) and on the Mordell - Weil theorem (by Yuri Manin).David Mumford was awarded the 2007 AMS Steele Prize for Mathematical Exposition. According to the citation: '"Abelian Varieties"...remains the definitive account of the subject...the classical theory is beautifully intertwined with the modern theory, in a way which sharply illuminates both...[It] will remain for the foreseeable future a classic to which the reader returns over and over'.
Publication: India
Imprint: Hindustan Book Agency
Returns: Returnable
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