Lectures on Algebraic Geometry II
BeschreibungThis 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.
InhaltsverzeichnisAus 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
Untertitel: Basic Concepts, Coherent Cohomology, Curves and their Jacobians. 'Aspects of Mathematics'. Sprache: Englisch.
Verlag: Vieweg+Teubner Verlag
Erscheinungsdatum: April 2011