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Topics in algebraic geometry

2011/04/26 by Caucher Birkar, Birkar, Caucher
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1104.5035

81 pages

arxiv created 2011/04/26 · arxiv updated 2011/04/28

Abstract

Lecture notes of an algebraic geometry graduate course. The topics covered are as follows. Cohomology: ext sheaves and groups, cohomology with support, local cohomology, local duality. Duality: relative duality, Cohen-Macaulay schemes. Morphisms of schemes: flatness and base change and related topics. Hilbert and Quotient schemes.

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