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This article is cited in 6 scientific papers (total in 6 papers)
On automorphisms of quasi-smooth weighted complete intersections
V. V. Przyjalkowskiab, С. A. Shramovac a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b International Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, Moscow, Russia
c Laboratory of Algebraic Geometry and Its Applications, National Research University Higher School of Economics, Moscow, Russia
Abstract:
We show that every reductive subgroup of the automorphism group of a quasi-smooth well-formed weighted complete intersection of dimension at least $3$ is a restriction of a subgroup in the automorphism group in the ambient weighted projective space. Also, we provide examples demonstrating that the automorphism group of a quasi-smooth well-formed Fano weighted complete intersection may be infinite and even non-reductive.
Bibliography: 25 titles.
Keywords:
weighted complete intersection, automorphism group, linear algebraic group.
Received: 21.05.2020 and 01.12.2020
Citation:
V. V. Przyjalkowski, С. A. Shramov, “On automorphisms of quasi-smooth weighted complete intersections”, Sb. Math., 212:3 (2021), 374–388
Linking options:
https://www.mathnet.ru/eng/sm9451https://doi.org/10.1070/SM9451 https://www.mathnet.ru/eng/sm/v212/i3/p112
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Abstract page: | 412 | Russian version PDF: | 58 | English version PDF: | 41 | Russian version HTML: | 135 | References: | 32 | First page: | 10 |
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