Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31:
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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2021]
|
| Schriftenreihe: | Mathematical Notes
104 |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 25. Feb 2021) |
| Beschreibung: | 1 online resource (216 pages) |
| ISBN: | 9780691214566 |
| DOI: | 10.1515/9780691214566 |
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| spelling | Kirwan, Frances Clare Verfasser 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 pages) txt rdacontent c rdamedia cr rdacarrier Mathematical Notes 104 Description based on online resource; title from PDF title page (publisher's Web site, viewed 25. Feb 2021) 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 In English MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds https://doi.org/10.1515/9780691214566 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kirwan, Frances Clare Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds |
| title | Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 |
| title_auth | Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 |
| title_exact_search | Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 |
| title_exact_search_txtP | 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_short | 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 |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds |
| topic_facet | MATHEMATICS / Geometry / Algebraic Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds |
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