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.
- ISBN10 3834826863
- ISBN13 9783834826862
- Publish Date 12 October 2014 (first published 5 April 2011)
- Publish Status Active
- Publish Country DE
- Publisher Springer Fachmedien Wiesbaden
- Imprint Vieweg+Teubner Verlag
- Edition 2011 ed.
- Format Paperback
- Pages 365
- Language English