HUDU

Lectures on Algebraic Geometry II


€ 112,49
 
gebunden
Sofort lieferbar
April 2011

Beschreibung

Beschreibung

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.

Inhaltsverzeichnis

Aus dem Inhalt: 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 Jacobians 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 Jacobians

Portrait

:Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
EAN: 9783834804327
ISBN: 3834804320
Untertitel: Basic Concepts, Coherent Cohomology, Curves and their Jacobians. 'Aspects of Mathematics'. Sprache: Englisch.
Verlag: Vieweg+Teubner Verlag
Erscheinungsdatum: April 2011
Seitenanzahl: XIII
Format: gebunden
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