Lectures on Algebraic Geometry II
Gunter Harder
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Description for Lectures on Algebraic Geometry II
Hardcover. Series Editor(s): Diederich, Klas. Series: Aspects of Mathematics. Num Pages: 365 pages, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 26. Weight in Grams: 885.
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.
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.
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
365
Condition
New
Series
Aspects of Mathematics
Number of Pages
378
Place of Publication
Weisbaden, Germany
ISBN
9783834804327
SKU
V9783834804327
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Gunter Harder
Prof. Dr. Gunter Harder, Max-Planck-Institute for Mathematics, Bonn
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