ENGLISH

Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians

By I. R. Shafarevich (eds.) , A. N. Parshin , Viktor S. Kulikov , P. F. Kurchanov , V. V. Shokurov (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
978-3-642-08118-7, 978-3-662-03662-4
DOI
10.1007/978-3-662-03662-4
Language
english
Format
PDF
Filesize
9 MB (9347818 bytes)
Series
Encyclopaedia of Mathematical Sciences 36
Edition
1
Pages
270\274
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry; Analysis; Number Theory

Description

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.

Similar books