Mathematics – Algebraic Geometry
Scientific paper
2002-11-06
Ann. Institut Fourier 53, No. 3, 701-712 (2003)
Mathematics
Algebraic Geometry
8 pages, minor changes, to appear in Ann. Inst. Fourier
Scientific paper
We provide a Hilbert-Mumford Criterion for actions of reductive groups $G$ on $Q$-factorial complex varieties. The result allows to construct open subsets admitting a good quotient by $G$ from certain maximal open subsets admitting a good quotient by a maximal torus of $G$. As an application, we show how to obtain all invariant open subsets with good quotient for a given $G$-action on a complete $Q$-factorial toric variety.
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