By Guenter Harder

This e-book and the subsequent moment quantity is an creation into smooth algebraic geometry. within the first quantity the equipment of homological algebra, conception of sheaves, and sheaf cohomology are built. those tools are imperative for contemporary algebraic geometry, yet also they are primary for different branches of arithmetic and of significant curiosity of their personal. within the final bankruptcy of quantity I those thoughts are utilized to the speculation of compact Riemann surfaces. during this bankruptcy the writer makes transparent how influential the information of Abel, Riemann and Jacobi have been and that some of the smooth tools were expected by way of them. For this moment version the textual content used to be thoroughly revised and corrected. the writer additionally extra a brief part on moduli of elliptic curves with N-level buildings. This new paragraph anticipates the various recommendations of quantity II.

**Read Online 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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**Additional info for Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, Volume 35)**

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