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Geometrical Description of Orbits of Automorphism Group of Affine Toric Varieties

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Abstract

Let X be an affine toric variety over an algebraically closed field of characteristic zero. Orbits of connected component of identity of automorphism group in terms of dimensions of tangent spaces of the variety X are described. A formula to calculate these dimensions is presented.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. A. Shafarevich

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  1. A. A. Shafarevich
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Correspondence to A. A. Shafarevich.

Additional information

Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 5, pp. 55–58.

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Shafarevich, A.A. Geometrical Description of Orbits of Automorphism Group of Affine Toric Varieties. Moscow Univ. Math. Bull. 74, 209–211 (2019). https://doi.org/10.3103/S0027132219050085

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  • DOI: https://doi.org/10.3103/S0027132219050085

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