Cohomology of Quotients in Symplectic and Algebraic Geometry

Cohomology of Quotients in Symplectic and Algebraic Geometry

Frances Clare Kirwan

116,60 €
IVA incluido
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Editorial:
Princeton University Press
Año de edición:
1984
ISBN:
9780691083704
116,60 €
IVA incluido
Disponible

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Sobre IBD

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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