I. A. Cheltsov, K. A. Shramov, “Finite collineation groups and birational rigidity”, Selecta Mathematica, New Series, 2019, Volume 25, Issue 5, Pages 71

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Selecta Mathematica, New Series, 2019, Volume 25, Issue 5, Pages 71–68
DOI: https://doi.org/10.1007/s00029-019-0516-5 (Mi smath10)

Citations (11)

DOI: https://doi.org/10.1007/s00029-019-0516-5

Abstract: We classify finite groups

G

$G$ in

$\mathrm{PGL}_4 (\mathbb{C})$ such that

$\mathbb{P}^3$ is

$G$ -birationally rigid.

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation
Royal Society	IES/R1/180205
Russian Foundation for Basic Research	15-01-02164_а 15-01-02158_а
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Both authors were supported by the Russian Academic Excellence Project “5-100”. Ivan Cheltsov was supported by the Royal Society grant No. IES/R1/180205. Constantin Shramov was supported by RFBR Grants 15-01-02164 and 15-01-02158, by Young Russian Mathematics award, and by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.

Bibliographic databases:

Document Type: Article

MSC: 14J50, 14N05

Language: English

Linking options:

https://www.mathnet.ru/eng/smath10

This publication is cited in the following 11 articles:

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang, “Equivariant geometry of the Segre cubic and the Burkhardt quartic”, Sel. Math. New Ser., 31:1 (2025)
Song Yang, Xun Yu, Zigang Zhu, “On automorphism groups of smooth hypersurfaces”, J. Algebraic Geom., 2025
Jose Avila, Guillermo Ortiz, Sergio Troncoso, “Invariant smooth quartic surfaces by all finite primitive subgroups of PGL4(C)”, Journal of Pure and Applied Algebra, 228:4 (2024), 107534
János Kollár, “Automorphisms and Twisted Forms of Rings of Invariants”, Milan J. Math., 2024
Ivan Cheltsov, Adrien Dubouloz, Takashi Kishimoto, “Toric G-solid Fano threefolds”, Sel. Math. New Ser., 29:2 (2023)
Ivan Cheltsov, Constantin Shramov, “Kähler–Einstein Fano threefolds of degree 22”, J. Algebraic Geom., 32 (2023), 385–428
Ivan Cheltsov, Arman Sarikyan, “Equivariant pliability of the projective space”, Sel. Math. New Ser., 29:5 (2023)
Piotr Pokora, Tomasz Szemberg, Justyna Szpond, “Unexpected Properties of the Klein Configuration of 60 Points in P3”, Michigan Math. J., -1:-1 (2023)
A. A. Avilov, “Birational rigidity of $G$-del Pezzo threefolds of degree $2$”, Sb. Math., 214:6 (2023), 757–792
Ivan Cheltsov, “Kummer quartic double solids”, Rend. Circ. Mat. Palermo, II. Ser, 72:3 (2023), 1993
Andrew Kresch, Yuri Tschinkel, “Equivariant Burnside groups and representation theory”, Sel. Math. New Ser., 28:4 (2022)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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