On orbits of the automorphism group on an affine toric variety
Algebraic Geometry
2013-07-16 v1
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.
Keywords
Cite
@article{arxiv.1203.2902,
title = {On orbits of the automorphism group on an affine toric variety},
author = {Ivan Arzhantsev and Ivan Bazhov},
journal= {arXiv preprint arXiv:1203.2902},
year = {2013}
}
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12 pages