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Vieweg+Teubner Verlag Vieweg+Teubner Lectures on Algebraic Geometry II - Math Book

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Description

Expand your mathematical knowledge with Lectures on Algebraic Geometry II from Vieweg+Teubner Verlag. This second volume in the Aspects of Mathematics series provides a deep dive into advanced algebraic concepts. The text introduces the concept of schemes, reviews commutative algebra, and covers projective schemes in detail. Readers will explore the finiteness theorem for coherent sheaves using techniques from homological algebra and sheaf cohomology. The book also provides a thorough discussion of projective curves over arbitrary ground fields and develops the theory of Jacobians. It includes a proof of the existence of the Picard scheme and offers an outlook into further developments like etale cohomology. This volume is an essential resource for those studying advanced algebra and geometry.

Key Features

This volume from Vieweg+Teubner Verlag introduces the concept of schemes and reviews commutative algebra.

The text covers projective schemes and the finiteness theorem for coherent sheaves.

Advanced mathematical techniques including homological algebra and sheaf cohomology are utilized throughout.

Study projective curves over an arbitrary ground field and the development of Jacobian theory.

Learn about the existence of the Picard scheme and future developments such as etale cohomology.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
12 October 2014
Listed Since
14 October 2014

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