Cohomology of Quotients in Symplectic and Algebraic Geometry. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Cohomology of Quotients in Symplectic and Algebraic Geometry.

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Frances Clare Kirwan 作者
Princeton University Press
译者
1984-12-1 出版日期
216 页数
USD 57.50 价格
Paperback
丛书系列
9780691083704 图书编码

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Cohomology of Quotients in Symplectic and Algebraic Geometry. 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Cohomology of Quotients in Symplectic and Algebraic Geometry. 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Cohomology of Quotients in Symplectic and Algebraic Geometry. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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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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