On orbits of the automorphism group on an affine toric variety

Details On orbits of the automorphism group on an affine toric variety On orbits of the automorphism group on an affine toric variety

2012-03-13

arxiv.org/abs/1203.2902v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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.

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