Cohomology of Quotients in Symplectic and Algebraic Geometry - Frances Clare Kirwan

Cohomology of Quotients in Symplectic and Algebraic Geometry

Buch | Softcover
216 Seiten
1984
Princeton University Press (Verlag)
978-0-691-08370-4 (ISBN)
102,25 inkl. MwSt
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.
Erscheint lt. Verlag 21.12.1984
Reihe/Serie Mathematical Notes
Verlagsort New Jersey
Sprache englisch
Maße 152 x 235 mm
Gewicht 312 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-691-08370-3 / 0691083703
ISBN-13 978-0-691-08370-4 / 9780691083704
Zustand Neuware
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