| Hardcover ISBN: | 978-3-8348-0432-7 |
| Product Code: | VWAM/41 |
| List Price: | $89.95 |
| AMS Member Price: | $80.95 |
| Hardcover ISBN: | 978-3-8348-0432-7 |
| Product Code: | VWAM/41 |
| List Price: | $89.95 |
| AMS Member Price: | $80.95 |
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Book DetailsVieweg Aspects of MathematicsVolume: 41; 2011; 365 ppMSC: Primary 14
This second volume introduces the concept of schemes, 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 explores further developments—for instance, étale cohomology—and states some fundamental theorems.
A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.
ReadershipGraduate students and research mathematicians interested in algebraic geometry.
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This second volume introduces the concept of schemes, 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 explores further developments—for instance, étale cohomology—and states some fundamental theorems.
A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.
Graduate students and research mathematicians interested in algebraic geometry.
