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Lectures on Algebraic Geometry II - Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Hardcover, 2011 ed.)
Loot Price: R3,970
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Lectures on Algebraic Geometry II - Basic Concepts, Coherent Cohomology, Curves and their Jacobians (Hardcover, 2011 ed.)
Series: Aspects of Mathematics, 39
Expected to ship within 12 - 17 working days
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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.
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