Finiteness of the number of maximal open subsets with good quotients

DOI10.1007/BF01234530zbMath0940.14034MaRDI QIDQ1281892

Andrzej Białynicki-Biruła

Publication date: 12 April 1999

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

reductive group actionsgood quotientsfiniteness of invariant open subsets

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)

Related Items (8)

On the complex structure of symplectic quotients ⋮ On embeddings of homogeneous spaces with small boundary ⋮ Algebraic spaces that become schematic after ground field extension ⋮ GIT-equivalence beyond the ample cone ⋮ Compact Kähler quotients of algebraic varieties and geometric invariant theory ⋮ Relative geometric invariant theory ⋮ On strengthening of the Kleiman-Chevalley projectivity criterion ⋮ A simple proof for the finiteness of GIT-quotients

Cites Work

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• Three theorems on existence of good quotients
• Open subsets of projective spaces with a good quotient by an action of a reductive group
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Quotient spaces modulo reductive algebraic groups
• Convexity and Commuting Hamiltonians
• A Reduction Theorem for Existence of Good Quotients
• Geometric invariant theory and flips

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