[PDF.94qg] Cohomology of Quotients in Symplectic and Algebraic Geometry (Mathematical Notes, Vol. 31)
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Cohomology of Quotients in Symplectic and Algebraic Geometry (Mathematical Notes, Vol. 31)
Frances Clare Kirwan
[PDF.pf46] Cohomology of Quotients in Symplectic and Algebraic Geometry (Mathematical Notes, Vol. 31)
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| #1064348 in Books | Princeton University Press | 1984-07-01 | Original language:English | PDF # 1 | 9.21 x.46 x6.14l,.60 | File type: PDF | 216 pages | |
These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods o...
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