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Item Details
Title: COHOMOLOGY OF QUOTIENTS IN SYMPLECTIC AND ALGEBRAIC GEOMETRY. (MN-31), VOLUME 31
By: Frances Clare Kirwan
Format: Paperback

List price: £82.00
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ISBN 10: 0691083703
ISBN 13: 9780691083704
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Publisher: PRINCETON UNIVERSITY PRESS
Pub. date: 1 December, 1984
Series: Mathematical Notes 31
Pages: 216
Synopsis: 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.
Publication: US
Imprint: Princeton University Press
Returns: Returnable
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