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Sbornik: Mathematics, 2021, Volume 212, Issue 3, Pages 374–388
DOI: https://doi.org/10.1070/SM9451 (Mi sm9451) 		 
This article is cited in 5 scientific papers (total in 5 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
English version PDF (526 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM9451
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
5-100
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
HSE Basic Research Program
The research of V. V. Przyjalkowski was carried out with the support of the Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, RF Government grant, ag. no. 14.641.31.0001, and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”. The research of K. A. Shramov was carried out with the support of the Basic Research Programme of the National Research University Higher School of Economics and the Russian Academic Excellence Project “5-100” and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.
Received: 21.05.2020 and 01.12.2020
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 3, Pages 112–127
DOI: https://doi.org/10.4213/sm9451
Bibliographic databases:
Document Type: Article
UDC: 512.544.42+512.745
MSC: 14J50, 14M10
Language: English
Original paper language: Russian
Citation: V. V. Przyjalkowski, С. A. Shramov, “On automorphisms of quasi-smooth weighted complete intersections”, Sb. Math., 212:3 (2021), 374–388
Citation in format AMSBIB
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\by V.~V.~Przyjalkowski, С.~A.~Shramov
\paper On automorphisms of quasi-smooth weighted complete intersections
\jour Sb. Math.
\yr 2021
\vol 212
\issue 3
\pages 374--388
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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