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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
Frances Clare Kirwan
€ 97.45
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Description for Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
Paperback. Series: Mathematical Notes. Num Pages: 216 pages, black & white illustrations. BIC Classification: PBF; PBPD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 158 x 234 x 18. Weight in Grams: 350.
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.
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.
Product Details
Format
Paperback
Publication date
1992
Publisher
Princeton University Press United States
Number of pages
216
Condition
New
Series
Mathematical Notes
Number of Pages
216
Place of Publication
New Jersey, United States
ISBN
9780691083704
SKU
V9780691083704
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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