Lectures on Algebraic Geometry II: Basic Concepts, Coherent.

Harder, G�nter

ISBN 10: 3834826863 ISBN 13: 9783834826862

Published by Westdeutscher Verlag GmbH, 2014

Language: English

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Bibliographic Details

Title

Lectures on Algebraic Geometry II: Basic Concepts, Coherent.

Publisher

Westdeutscher Verlag GmbH

Publication Date

2014

Language

English

ISBN 10

3834826863

ISBN 13

9783834826862

Binding

Soft cover

Condition

New

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About this title

Synopsis

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.
Finally, the author gives some outlook into further developments- for instance �tale cohomology- and states some fundamental theorems.

About the Author

Prof. Dr. G�nter Harder, Max-Planck-Institute for Mathematics, Bonn

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