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 ;
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| Physical Description: | 1 online resource (216 p.) |
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Kirwan, Frances Clare, author. aut http://id.loc.gov/vocabulary/relators/aut Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / Frances Clare Kirwan. Princeton, NJ : Princeton University Press, [2021] ©1985 1 online resource (216 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Notes ; 104 Frontmatter -- Contents -- Introduction -- Part I. The symplectic approach* -- Part II. The algebraic approach. -- References restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Algebraic varieties. Group schemes (Mathematics). Homology theory. Symplectic manifolds. MATHEMATICS / Geometry / Algebraic. bisacsh "ient variety. Cohomological formulae. Critical points. Deligne calls. Grassmannian. Hodge numbers. Jacobian matrices. Lie algebra. Morse function. algebraic geometry. cotangent bundles. critical subsets. denotes. equivariantly perfect. geometry. integers. invariant. moment map. monomials. nonsingular variety. rational cohomology. semistable stratum. subspace. symplectic manifold. Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 https://doi.org/10.1515/9780691214566?locatt=mode:legacy https://www.degruyter.com/isbn/9780691214566 Cover https://www.degruyter.com/document/cover/isbn/9780691214566/original |
| language |
English |
| format |
eBook |
| author |
Kirwan, Frances Clare, Kirwan, Frances Clare, |
| spellingShingle |
Kirwan, Frances Clare, Kirwan, Frances Clare, Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / Mathematical Notes ; Frontmatter -- Contents -- Introduction -- Part I. The symplectic approach* -- Part II. The algebraic approach. -- References |
| author_facet |
Kirwan, Frances Clare, Kirwan, Frances Clare, |
| author_variant |
f c k fc fck f c k fc fck |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Kirwan, Frances Clare, |
| title |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / |
| title_full |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / Frances Clare Kirwan. |
| title_fullStr |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / Frances Clare Kirwan. |
| title_full_unstemmed |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / Frances Clare Kirwan. |
| title_auth |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / |
| title_alt |
Frontmatter -- Contents -- Introduction -- Part I. The symplectic approach* -- Part II. The algebraic approach. -- References |
| title_new |
Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / |
| title_sort |
cohomology of quotients in symplectic and algebraic geometry. (mn-31), volume 31 / |
| series |
Mathematical Notes ; |
| series2 |
Mathematical Notes ; |
| publisher |
Princeton University Press, |
| publishDate |
2021 |
| physical |
1 online resource (216 p.) |
| contents |
Frontmatter -- Contents -- Introduction -- Part I. The symplectic approach* -- Part II. The algebraic approach. -- References |
| isbn |
9780691214566 9783110494921 9783110442496 |
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Q - Science |
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QA - Mathematics |
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QA564 |
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QA 3564 K53 41984EB |
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https://doi.org/10.1515/9780691214566?locatt=mode:legacy https://www.degruyter.com/isbn/9780691214566 https://www.degruyter.com/document/cover/isbn/9780691214566/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512/.33 |
| dewey-sort |
3512 233 |
| dewey-raw |
512/.33 |
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512/.33 |
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10.1515/9780691214566?locatt=mode:legacy |
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AT kirwanfrancesclare cohomologyofquotientsinsymplecticandalgebraicgeometrymn31volume31 |
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Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 / |
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Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
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