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

Harder, Günter

ISBN 10: 3834804320 / ISBN 13: 9783834804327

Verlag: Vieweg+Teubner Verlag, 2011

Beschreibung

Bestandsnummer des Verkäufers I-9783834804327

Bibliografische Details

• Titel: Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Aspects of Mathematics, 39)
• Verlag: Vieweg+Teubner Verlag
• Veröffentlichungsdatum: 2011
• Sprache: Englisch
• ISBN-10: 3834804320
• ISBN-13: 9783834804327
• Bindung: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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