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.
General
| Imprint: |
Princeton University Press
|
| Country of origin: |
United States |
| Series: |
Mathematical Notes |
| Release date: |
December 1984 |
| First published: |
December 1984 |
| Authors: |
Frances Clare Kirwan
|
| Dimensions: |
235 x 152 x 18mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
216 |
| ISBN-13: |
978-0-691-08370-4 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Fields & rings
|
| LSN: |
0-691-08370-3 |
| Barcode: |
9780691083704 |
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