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Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians
BuchKartoniert, Paperback
365 Seiten
Englisch
Vieweg+Teubnererschienen am12.10.2014Repr.2011
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.mehr
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Produkt

KlappentextThis 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.
Zusammenfassung
Details
ISBN/GTIN978-3-8348-2686-2
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2014
Erscheinungsdatum12.10.2014
AuflageRepr.2011
Seiten365 Seiten
SpracheEnglisch
Gewicht643 g
IllustrationenXIII, 365 p.
Artikel-Nr.33275159

Inhalt/Kritik

Inhaltsverzeichnis
Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobiansmehr
Prolog
Abel, Jacobi and Riemann from todays point of view.mehr