By Guenter Harder

ISBN-10: 3528031360

ISBN-13: 9783528031367

This publication and the subsequent moment quantity is an creation into smooth algebraic geometry. within the first quantity the tools of homological algebra, idea of sheaves, and sheaf cohomology are built. those equipment are quintessential for contemporary algebraic geometry, yet also they are basic for different branches of arithmetic and of significant curiosity of their personal. within the final bankruptcy of quantity I those strategies are utilized to the idea of compact Riemann surfaces. during this bankruptcy the writer makes transparent how influential the tips of Abel, Riemann and Jacobi have been and that a number of the smooth equipment were expected via them. For this moment variation the textual content used to be thoroughly revised and corrected. the writer additionally further a brief part on moduli of elliptic curves with N-level constructions. This new paragraph anticipates the various concepts of quantity II.

**Read or Download Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, Volume 35) PDF**

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**Extra resources for Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, Volume 35)**

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### Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, Volume 35) by Guenter Harder

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