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arXiv:1203.2902 [math.AG]AbstractReferencesReviewsResources

On orbits of the automorphism group on an affine toric variety

Ivan Arzhantsev, Ivan Bazhov

Published 2012-03-13Version 1

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.

Comments: 12 pages
Journal: Cent. Eur. J. Math. 11 (2013), no. 10, 1713-1724
Categories: math.AG
Subjects: 14M25, 14R20, 14J50, 14L30
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