A simple proof for the finiteness of GIT-quotients

DOI10.1090/S0002-9939-02-06599-1zbMath1008.14009OpenAlexW1961913635MaRDI QIDQ4779838

Alexander H. W. Schmitt

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06599-1

zbMATH Keywords

geometric invariant theorylinearizationtorus actionsemistable pointsquotientsHilbert-Mumford criterion

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)

Related Items (4)

On the complex structure of symplectic quotients ⋮ Geometric invariant theory and generalized eigenvalue problem. II ⋮ GIT-equivalence beyond the ample cone ⋮ Relative geometric invariant theory

Cites Work

• Unnamed Item
• Finiteness of the number of maximal open subsets with good quotients
• Master spaces for stable pairs
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Quotients by C ∗ and SL(2,C) Actions
• Geometric invariant theory and flips

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