V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Fano threefolds with infinite automorphism groups”, Izv. Math., 83:4 (2019), 860

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Izvestiya: Mathematics, 2019, Volume 83, Issue 4, Pages 860–907
DOI: https://doi.org/10.1070/IM8834 (Mi im8834)

This article is cited in 22 scientific papers (total in 22 papers)

Fano threefolds with infinite automorphism groups

V. V. Przyjalkowski^ab, I. A. Cheltsov^cb, K. A. Shramov^ab

^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^b National Research University "Higher School of Economics", Moscow
^c School of Mathematics, University of Edinburgh, Edinburgh, UK

English version PDF (831 kB) Citations (22) Russian version article

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DOI: https://doi.org/10.1070/IM8834

Abstract: We classify smooth Fano threefolds with infinite automorphism groups.

Keywords: Fano threefolds, automorphism groups.

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	5-100 14.641.31.0001
Royal Society	IES\R1\180205
Contest «Young Russian Mathematics»
The work of Cheltsov and Shramov was partially supported by the Russian Academic Excellence Project ‘5-100’. Cheltsov was also supported by grant no. IES $\backslash$ R1 $\backslash$ 180205 of the Royal Society. Przyjalkowski and Shramov are Young Russian Mathematics award winners and would like to thank its sponsors and jury. Przyjalkowski is partially supported by Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. no. 14.641.31.0001.

Received: 01.07.2018
Revised: 28.08.2018

Bibliographic databases:

Document Type: Article

UDC: 512.776

MSC: Primary 14J30; Secondary 14J45, 14J50

Language: English

Original paper language: Russian

Citation: V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Fano threefolds with infinite automorphism groups”, Izv. Math., 83:4 (2019), 860–907

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/im8834

https://doi.org/10.1070/IM8834

https://www.mathnet.ru/eng/im/v83/i4/p226

This publication is cited in the following 22 articles:

Nicholas Lindsay, “On 3-folds having a holomorphic torus action with 6 fixed points”, Journal of Geometry and Physics, 2025, 105433
Ivan Cheltsov, Elena Denisova, Kento Fujita, “K-stable smooth Fano threefolds of Picard rank two”, Forum of Mathematics, Sigma, 12 (2024)
Elena Denisova, “On K $K$ ‐stability of P3 $\mathbb {P}^3$ blown up along the disjoint union of a twisted cubic curve and a line”, Journal of London Math Soc, 109:5 (2024)
Elena Denisova, “K-stability of Fano 3-folds of Picard rank 3 and degree 20”, Ann Univ Ferrara, 70:3 (2024), 987
Hamid Abban, Ivan Cheltsov, Elena Denisova, Erroxe Etxabarri-Alberdi, Anne-Sophie Kaloghiros, Dongchen Jiao, Jesus Martinez-Garcia, Theodoros Papazachariou, “One-dimensional components in the K-moduli of smooth Fano 3-folds”, J. Algebraic Geom., 2024
HOSUNG KIM, JEONG-SEOP KIM, YONGNAM LEE, “BIGNESS OF THE TANGENT BUNDLE OF A FANO THREEFOLD WITH PICARD NUMBER TWO”, Nagoya Math. J., 2024, 1
A. T. Fomenko, A. I. Shafarevich, V. A. Kibkalo, “Glavnye napravleniya i dostizheniya kafedry differentsialnoi geometrii i prilozhenii na sovremennom etape”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2024, no. 6, 27–37
P. Belmans, E. Fatighenti, F. Tanturri, “Polyvector fields for Fano 3-folds”, Math. Z., 304:1 (2023), 12
Yu. Prokhorov, M. Zaidenberg, “Affine cones over Fano–Mukai fourfolds of genus 10 are flexible”, The Art of Doing Algebraic Geometry, Trends in Mathematics, 2023, 363–383
K. Loginov, “K-polystability of 3-dimensional log Fano pairs of Maeda type”, Int. J. Math., 34:01 (2023), 2250095
M. Miao, G. Tian, “A note on Kähler–Ricci flow on Fano threefolds”, Peking Math. J., 2023
Yu. Prokhorov, M. Zaidenberg, “Fano-Mukai fourfolds of genus 10 and their automorphism groups”, Eur. J. Math., 8:2 (2022), 561–572
G. Occhetta, E. A. Romano, L. E. Solá Conde, J. A. Wiśniewski, “Small bandwidth $\mathbb{C}^*$ -actions and birational geometry”, J. Algebraic Geom., 32:1 (2022), 1–57
H. Süß, “Orbit spaces of maximal torus actions on oriented Grassmannians of planes”, Springer Proceedings in Mathematics & Statistics, 386, Interactions with Lattice Polytopes, 2022, 335–349
Yu. G. Prokhorov, “Equivariant minimal model program”, Russian Math. Surveys, 76:3 (2021), 461–542
T. Delcroix, J. Hultgren, “Coupled complex Monge-ampère equations on Fano horosymmetric manifolds”, J. Math. Pures Appl., 153 (2021), 281–315
I. Cheltsov, J. Park, Yu. Prokhorov, M. Zaidenberg, “Cylinders in Fano varieties”, EMS Surv. Math. Sci., 8:1-2 (2021), 39–105
L. De Biase, E. Fatighenti, F. Tanturri, “Fano 3-folds from homogeneous vector bundles over Grassmannians”, Rev. Mat. Complut., 2021
Anne-Sophie Kaloghiros, Andrea Petracci, “On toric geometry and K-stability of Fano varieties”, Trans. Amer. Math. Soc. Ser. B, 8:19 (2021), 548
Yu. G. Prokhorov, C. A. Shramov, “Bounded automorphism groups of compact complex surfaces”, Sb. Math., 211:9 (2020), 1310–1322

Citing articles in Google Scholar: Russian citations, English citations
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References:	74
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