Abelian Varieties (Tata Institute of Fundamental Research)

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Abelian Varieties (Tata Institute of Fundamental Research)

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'.

Country	USA
Author	David Mumford
Binding	Hardcover
EAN	9788185931869
IsAdultProduct
ISBN	8185931860
IsEligibleForTradeIn	1
Label	Amer Mathematical Society
Manufacturer	Amer Mathematical Society
NumberOfPages	263
PublicationDate	2012-01-30
Publisher	Amer Mathematical Society
Studio	Amer Mathematical Society
ReleaseDate	0000-00-00

Abelian Varieties (Tata Institute of Fundamental Research)

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