Displaying similar documents to “Algebras with finitely generated invariant subalgebras”

On orbits of the automorphism group on an affine toric variety

Ivan Arzhantsev, Ivan Bazhov (2013)

Open Mathematics

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Let X be an affine toric variety. The total coordinates on X provide a canonical presentation X ¯ → X of X as a quotient of a vector space X ¯ by a linear action of a quasitorus. We prove that the orbits of the connected component of the automorphism group Aut(X) on X coincide with the Luna strata defined by the canonical quotient presentation.

A general Hilbert-Mumford criterion

Jürgen Hausen (2003)

Annales de l’institut Fourier

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Let a reductive group G act on an algebraic variety X . We give a Hilbert-Mumford type criterion for the construction of open G -invariant subsets V ⊂ X admitting a good quotient by G .