Download Algebraic Geometry 3 - Further Study of Schemes by Kenji Ueno PDF

By Kenji Ueno

Algebraic geometry performs an incredible function in different branches of technological know-how and expertise. this is often the final of 3 volumes through Kenji Ueno algebraic geometry. This, in including Algebraic Geometry 1 and Algebraic Geometry 2, makes a superb textbook for a path in algebraic geometry.

In this quantity, the writer is going past introductory notions and provides the idea of schemes and sheaves with the target of learning the homes precious for the whole improvement of contemporary algebraic geometry. the most themes mentioned within the publication comprise measurement concept, flat and correct morphisms, standard schemes, gentle morphisms, of completion, and Zariski's major theorem. Ueno additionally offers the idea of algebraic curves and their Jacobians and the relation among algebraic and analytic geometry, together with Kodaira's Vanishing Theorem.

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