New PDF release: Lectures on Algebraic Geometry 1: Sheaves, Cohomology of

Algebraic Geometry

By Guenter Harder

This booklet and the next moment quantity is an creation into sleek algebraic geometry. within the first quantity the equipment of homological algebra, conception of sheaves, and sheaf cohomology are constructed. those equipment are fundamental for contemporary algebraic geometry, yet also they are primary for different branches of arithmetic and of serious curiosity of their personal. within the final bankruptcy of quantity I those recommendations are utilized to the idea 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 sleek equipment were expected by way of them. For this moment variation the textual content was once thoroughly revised and corrected. the writer additionally extra a brief part on moduli of elliptic curves with N-level buildings. This new paragraph anticipates a few of the suggestions of quantity II.

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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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