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Abelian Varieties
 
David Mumford Brown University, Providence, RI
A publication of Tata Institute of Fundamental Research
Abelian Varieties
Hardcover ISBN:  978-81-85931-86-9
Product Code:  TIFR/13
List Price: $75.00
AMS Member Price: $60.00
Please note AMS points can not be used for this product
Abelian Varieties
Click above image for expanded view
Abelian Varieties
David Mumford Brown University, Providence, RI
A publication of Tata Institute of Fundamental Research
Hardcover ISBN:  978-81-85931-86-9
Product Code:  TIFR/13
List Price: $75.00
AMS Member Price: $60.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Tata Institute of Fundamental Research Publications
    Volume: 132012; 263 pp
    MSC: Primary 14

    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.”

    A publication of the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka.

    Readership

    Graduate students and research mathematicians interested in abelian varieties.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 132012; 263 pp
MSC: Primary 14

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.”

A publication of the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka.

Readership

Graduate students and research mathematicians interested in abelian varieties.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.