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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 5, Pages 55–58 (Mi vmumm3629)

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Geometrical description of orbits of automorphism group of affine toric varieties

A. A. Shafarevich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Let $X$ be an affine toric variety over an algebraically closed field of characteristic zero. In this paper we describe orbits of connected component of identity of automorphism group in terms of dimensions of tangent spaces of the variety $X$. We also present a formula to calculate these dimensions.

Key words: toric varieties, automorphism group, actions of additive group of a field.

UDC: 512.74

Received: 05.12.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2019, 74:5, 209–211

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