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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| 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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| 100 | 1 | |a Kirwan, Frances Clare, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / |c Frances Clare Kirwan. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
| 264 | 4 | |c ©1985 | |
| 300 | |a 1 online resource (216 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Mathematical Notes ; |v 104 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t Part I. The symplectic approach* -- |t Part II. The algebraic approach. -- |t References |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Algebraic varieties. | |
| 650 | 0 | |a Group schemes (Mathematics). | |
| 650 | 0 | |a Homology theory. | |
| 650 | 0 | |a Symplectic manifolds. | |
| 650 | 7 | |a MATHEMATICS / Geometry / Algebraic. |2 bisacsh | |
| 653 | |a "ient variety. | ||
| 653 | |a Cohomological formulae. | ||
| 653 | |a Critical points. | ||
| 653 | |a Deligne calls. | ||
| 653 | |a Grassmannian. | ||
| 653 | |a Hodge numbers. | ||
| 653 | |a Jacobian matrices. | ||
| 653 | |a Lie algebra. | ||
| 653 | |a Morse function. | ||
| 653 | |a algebraic geometry. | ||
| 653 | |a cotangent bundles. | ||
| 653 | |a critical subsets. | ||
| 653 | |a denotes. | ||
| 653 | |a equivariantly perfect. | ||
| 653 | |a geometry. | ||
| 653 | |a integers. | ||
| 653 | |a invariant. | ||
| 653 | |a moment map. | ||
| 653 | |a monomials. | ||
| 653 | |a nonsingular variety. | ||
| 653 | |a rational cohomology. | ||
| 653 | |a semistable stratum. | ||
| 653 | |a subspace. | ||
| 653 | |a symplectic manifold. | ||
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
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| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691214566 |
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