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OverviewThis 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. Full Product DetailsAuthor: Günter Harder , Klas DiederichPublisher: Springer Fachmedien Wiesbaden Imprint: Vieweg+Teubner Verlag Edition: 2011 ed. Volume: 39 Dimensions: Width: 16.80cm , Height: 2.60cm , Length: 24.00cm Weight: 0.890kg ISBN: 9783834804327ISBN 10: 3834804320 Pages: 365 Publication Date: 05 April 2011 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsBasic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and JacobiansReviewsAuthor InformationProf. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn Tab Content 6Author Website:Countries AvailableAll regions |