Lectures on Algebraic Geometry II - E-book

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Lectures On Algebraic Geometry Ii - ENG

Basic Concepts, Coherent Cohomology, Curves And Their Jacobians

Günter Harder

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Sinopsis

ISBN:	9783834881595
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2011-04-21

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 Ã©tale cohomology- and states some fundamental theorems.

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