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Bog, hardback Lectures on Algebraic Geometry II af Gunter Harder

Lectures on Algebraic Geometry II (Aspects of Mathematics, nr. 39)

- Basic Concepts, Coherent Cohomology, Curves and Their Jacobians

(Bog, hardback)

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Sprog:
Engelsk
ISBN-13:
9783834804327
Sideantal:
365
Udgivet:
05-04-2011
Udgave:
2011 ed.
Nr. i serien:
39
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Bibliotekernes beskrivelse
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 etale cohomology- and states some fundamental theorems.

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