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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians

Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians

Hardcover

Series: Aspects of Mathematics, Book 39

AlgebraGeometry

ISBN10: 3834804320
ISBN13: 9783834804327
Publisher: Springer Pg
Published: Apr 5 2011
Pages: 365
Weight: 1.70
Height: 1.01 Width: 6.84 Depth: 9.79
Language: English
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.

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Algebra