Encyclopaedia of Mathematical Sciences

Algebraic Geometry III

Complex Algebraic Varieties Algebraic Curves and Their Jacobians

Editors: Parshin, A.N., Shafarevich, I.R. (Eds.)

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About this book

The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields - some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties.
The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford.

Table of contents (2 chapters)

  • Complex Algebraic Varieties: Periods of Integrals and Hodge Structures

    Kulikov, Vik. S. (et al.)

    Pages 1-217

  • Algebraic Curves and Their Jacobians

    Shokurov, V. V.

    Pages 219-261

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-662-03662-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-54681-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-08118-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geometry III
Book Subtitle
Complex Algebraic Varieties Algebraic Curves and Their Jacobians
Editors
  • A.N. Parshin
  • I.R. Shafarevich
Translated by
Rivin, I.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
36
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03662-4
DOI
10.1007/978-3-662-03662-4
Hardcover ISBN
978-3-540-54681-8
Softcover ISBN
978-3-642-08118-7
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VIII, 270
Additional Information
Original Russian edition published by VINITI, Moscow, 1989
Topics