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Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Gebonden Engels 2011 2011e druk 9783834804327
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Samenvatting

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.

Specificaties

ISBN13:9783834804327
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:365
Druk:2011

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          Lectures on Algebraic Geometry II