| Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians 2011 Edition Contributor(s): Harder, Günter (Author), Diederich, Klas (Editor) |
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ISBN: 3834826863 ISBN-13: 9783834826862 Publisher: Vieweg+teubner Verlag OUR PRICE: $161.49 Product Type: Paperback - Other Formats Published: October 2014 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic |
| Dewey: 512.02 |
| Series: Aspects of Mathematics |
| Physical Information: 0.79" H x 6.14" W x 9.21" (1.18 lbs) 365 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |