Geodesic
On automorphisms of quasi-smooth weighted complete intersections
Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 374-388

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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, linear algebraic group.
Mots-clés : automorphism group 
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V. V. Przyjalkowski; С. A. Shramov. On automorphisms of quasi-smooth weighted complete intersections. Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 374-388. http://geodesic.mathdoc.fr/item/SM_2021_212_3_a7/