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＜E-Book＞
Algebraic Geometry III : Complex Algebraic Varieties Algebraic Curves and Their Jacobians / edited by A.N. Parshin, I.R. Shafarevich
(Encyclopaedia of Mathematical Sciences ; 36)

Edition	1st ed. 1998.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1998
Language	English
Size	VIII, 270 p : online resource
Authors	Parshin, A.N editor Shafarevich, I.R editor SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Mathematical analysis LCSH:Number theory FREE:Algebraic Geometry FREE:Analysis FREE:Number Theory
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-662-03662-4

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