Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians (Hardcover) (ISBN-13: 9783834804327)

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 tale cohomology- and states some fundamental theorems.


Author: G?ter Harder
ISBN-10: 3834804320
ISBN-13: 9783834804327
Publisher: Vieweg+teubner Verlag
Language: English
Published: 04/05/2011
Pages: 365
Format: Hardcover
Weight: 1.70lbs
Size: 9.79h x 6.84w x 1.01d