COHOMOLOGY OF QUOTIENTS IN SYMPLECTIC AND ALGEBRAIC GEOMETRY. (MN-31), VOLUME 31 by Frances Clare Kirwan ( 9780691083704 )

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Title:

COHOMOLOGY OF QUOTIENTS IN SYMPLECTIC AND ALGEBRAIC GEOMETRY. (MN-31), VOLUME 31

By:

Frances Clare Kirwan

Format:

Paperback

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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.

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Imprint:

Princeton University Press

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Returnable

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