| Cohomology of Quotients in Symplectic and Algebraic Geometry. (Mn-31), Volume 31 Contributor(s): Kirwan, Frances Clare (Author) |
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ISBN: 0691083703 ISBN-13: 9780691083704 Publisher: Princeton University Press OUR PRICE: $90.25 Product Type: Paperback - Other Formats Published: December 1984 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic |
| Dewey: 512.33 |
| LCCN: 84015143 |
| Physical Information: 0.58" H x 6.13" W x 8.76" (0.60 lbs) 216 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient 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. |