Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 55–58 (Mi vmumm3629)  
This article is cited in 1 scientific paper (total in 1 paper)

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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
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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.
Received: 05.12.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 209–211
DOI: https://doi.org/10.3103/S0027132219050085
Bibliographic databases:
Document Type: Article
UDC: 512.74
Language: Russian
Citation: A. A. Shafarevich, “Geometrical description of orbits of automorphism group of affine toric varieties”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 55–58; Moscow University Mathematics Bulletin, 74:5 (2019), 209–211
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:27
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