Bibliographic Information

Abelian varieties

David Mumford ; with appendices by C.P. Ramanujam and Yuri Manin

(Tata Institute of Fundamental Research studies in mathematics)

Tata institute of fundamental research , Hindustan Book Agency, 2008

2nd ed. corrected reprint

Available at  / 34 libraries

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Note

Bibliography: p. [259]-261

Includes index

International distribution by American Mathematical Society

Some copies have different pagination: xii, 264 p

Description and Table of Contents

Description

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'.

by "Nielsen BookData"

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Details

  • NCID
    BA88009852
  • ISBN
    • 9788185931869
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Mumbai,New Delhi
  • Pages/Volumes
    xii, 263 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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