Lectures on Algebraic Geometry II

Book 6 of 6: Aspects of Mathematics

Harder, Gunter

ISBN 10: 3834826863 ISBN 13: 9783834826862

Published by Vieweg+Teubner, 2011

Language: English

Condition: Used - As new Soft cover

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Bibliographic Details

Title

Lectures on Algebraic Geometry II

Publisher

Vieweg+Teubner

Publication Date

2011

Language

English

ISBN 10

3834826863

ISBN 13

9783834826862

Binding

Softcover

Condition

Like New

Seller catalogs

Mathematics

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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