On orbits of the automorphism group on an affine toric variety

Abstract

Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space 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.

12 pages

References in corpus (1)

• On orbits of the automorphism group on a complete toric variety

Cited by in corpus (1)

• On the connectedness of the automorphism group of an affine toric variety