[PDF.13ro] Koszul Cohomology and Algebraic Geometry (University Lecture Series)

Koszul Cohomology and Algebraic Geometry (University Lecture Series)

[PDF.vb77] Koszul Cohomology and Algebraic Geometry (University Lecture Series)

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 | #5020899 in Books |  2009-12-14 | Original language:English |  10.00 x7.00 x.50l,.60 | File type: PDF | 125 pages

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The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the 1980s. Green connected classical results concerning the ideal of a projective variety with vanishing theorems for Koszul cohomology. Green and Lazarsfeld also stated two conjectures that relate the Koszul cohomology of algebraic curves with the existence of special divisors on the curve. These conjectures became an important guidelin...

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