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portada Lectures on Algebraic Geometry ii: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians (Aspects of Mathematics, 39)
Type
Physical Book
Publisher
Author
Language
English
Pages
365
Format
Paperback
ISBN13
9783834826862
Edition No.
2011th

Lectures on Algebraic Geometry ii: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians (Aspects of Mathematics, 39)

Günter Harder (Author) · Springer Verlag Gmbh · Paperback

Lectures on Algebraic Geometry ii: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians (Aspects of Mathematics, 39) - Günter Harder

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Synopsis "Lectures on Algebraic Geometry ii: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians (Aspects of Mathematics, 39)"

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.

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