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Lectures on Algebraic Geometry II

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Lectures on Algebraic Geometry II 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 étale cohomology- and states some fundamental theorems.

About This Edition

ISBN: 9783834826862
Publication date: 12th October 2014
Author: Günter Harder
Publisher: Vieweg+Teubner Verlag
Format: Paperback
Pagination: 365 pages
Series: Aspects of Mathematics
Genres: Algebraic geometry
Algebra