Produktbild: Algebraic Geometry III

Algebraic Geometry III

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Complex Algebraic Varieties Algebraic Curves and Their Jacobians, Encyclopaedia of Mathematical Sciences 36

ISBN: 3540546812
ISBN 13: 9783540546818
Herausgeber: A N Parshin/I R Shafarevich
Verlag: Springer Verlag GmbH
Umfang: viii, 270 S.
Erscheinungsdatum: 08.12.1997
Auflage: 1/1997
Produktform: Gebunden/Hardback
Einband: Gebunden

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.

Artikelnummer: 3108540 Kategorie:

Beschreibung

This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.

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