Lectures on Algebraic Geometry II : Basic Concepts, Coherent Cohomology, Curves and their Jacobians
2011 ed.
Book Details
Format
Hardback or Cased Book
Book Series
Aspects of Mathematics
ISBN-10
3834804320
ISBN-13
9783834804327
Edition
2011 ed.
Publisher
Springer Fachmedien Wiesbaden
Imprint
Vieweg+Teubner Verlag
Country of Manufacture
DE
Country of Publication
GB
Publication Date
Apr 5th, 2011
Print length
365 Pages
Weight
824 grams
Dimensions
18.00 x 25.20 x 2.80 cms
Product Classification:
AlgebraAlgebraic geometry
Ksh 23,400.00
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This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes.
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 étale cohomology- and states some fundamental theorems.
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