Cohomology of Quotients in Symplectic and Algebraic Geometry (Mathematical Notes, Vol. 31)

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9780691083704: Cohomology of Quotients in Symplectic and Algebraic Geometry (Mathematical Notes, Vol. 31)

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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Book Description Princeton University Press, United States, 1984. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAH9780691083704

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Book Description Princeton University Press, United States, 1984. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAH9780691083704

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