Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / / Frances Clare Kirwan.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©1985 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | Mathematical Notes ;
104 |
| Online Access: | |
| Physical Description: | 1 online resource (216 p.) |
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| Other title: | Frontmatter -- Contents -- Introduction -- Part I. The symplectic approach* -- Part II. The algebraic approach. -- References |
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| 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. |
| Format: | Mode of access: Internet via World Wide Web. |
| ISBN: | 9780691214566 9783110494921 9783110442496 |
| DOI: | 10.1515/9780691214566?locatt=mode:legacy |
| Access: | restricted access |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | Frances Clare Kirwan. |