Cohomology of Quotients in Symplectic and Algebraic Geometry
These notes describe a general procedure for calculating the Betti numbers of the projective "ient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These "ient varieties are interesting in particular because of the...
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| Format: | eBook |
| Language: | English |
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Princeton, New Jersey
Princeton University Press
1984, ©1984
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| Series: | Mathematical Notes
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | These notes describe a general procedure for calculating the Betti numbers of the projective "ient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These "ient 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 of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions. |
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| Physical Description: | 210 pages |
| ISBN: | 978-0-691-21456-6 |