[share_ebook] Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces, 2nd Edition
Author: Algebraic Geometry, Riemann Surfaces
Date: 2011
ISBN: 3834818445
Pages: 311
Publisher: S.r.ng.r
Category: Study
Tag: Mathematics
Posted on 20110916, by LionFar.
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Title:Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces, 2nd Edition Author:Algebraic Geometry, Riemann Surfaces Publisher:S.r.ng.r ISBN:3834818445 ISBN13: Date2011 Pages: 311 pages Language: Format: PDF Size:2 MB 

Description:This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with Nlevel structures. This new paragraph anticipates some of the techniques of volume II. 

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