Frances Clare Kirwan

Cohomology of Quotients in Symplectic and Algebraic Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: University of Pennsylvania Press, Inc.
• Erscheinungstermin: 30. Juni 2020
• Englisch
• ISBN-13: 9780691214566
• Artikelnr.: 59363747

Autorenporträt

Frances Clare Kirwan