By Prof. Dr. Günter Harder (auth.)

This booklet and the next moment quantity is an creation into glossy algebraic geometry. within the first quantity the tools of homological algebra, conception of sheaves, and sheaf cohomology are constructed. those equipment are quintessential for contemporary algebraic geometry, yet also they are basic for different branches of arithmetic and of serious curiosity of their own.

within the final bankruptcy of quantity I those recommendations are utilized to the speculation of compact Riemann surfaces. during this bankruptcy the writer makes transparent how influential the guidelines of Abel, Riemann and Jacobi have been and that the various smooth equipment were expected by way of them.

**Read or Download Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces PDF**

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**Additional info for Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces**

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