Lectures on Algebraic Geometry II: Basic Concepts, Coherent.

Harder, Günter

ISBN 10: 3834826863 / ISBN 13: 9783834826862

Edité par Westdeutscher Verlag GmbH, 2014

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Détails bibliographiques

• Titre: Lectures on Algebraic Geometry II: Basic Concepts, Coherent.
• Éditeur: Westdeutscher Verlag GmbH
• Date de parution: 2014
• Langue: anglais
• ISBN à 10 chiffres: 3834826863
• ISBN à 13 chiffres: 9783834826862
• Reliure: Couverture souple
• État de l'article: New

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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.

À propos de l?auteur

Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn