Email this article Automorphisms of Du Val del Pezzo surfaces
- Authors: Virin N.A.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
- Issue: Vol 215, No 12 (2024)
- Pages: 3-29
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/306665
- DOI: https://doi.org/10.4213/sm10052
- ID: 306665
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Abstract
We present a description for the automorphism groups of Du Val del Pezzo surfaces whose automorphism groups are infinite.Bibliography: 11 titles.
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About the authors
Nikita Andreevich Virin
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Email: virinnikita@gmail.com
without scientific degree, no status
References
- I. V. Dolgachev, Classical algebraic geometry. A modern view, Cambridge Univ. Press, Cambridge, 2012, xii+639 pp.
- I. Cheltsov, Y. Prokhorov, “Del Pezzo surfaces with infinite automorphism groups”, Algebr. Geom., 8:3 (2021), 319–357
- G. Martin, C. Stadlmayr, Weak del {P}ezzo surfaces with global vector fields
- D.-Q. Zhang, “Automorphisms of finite order on Gorenstein del Pezzo surfaces”, Trans. Amer. Math. Soc., 354:12 (2002), 4831–4845
- B. Harbourne, “Rational surfaces with infinite automorphism group and no antipluricanonical curve”, Proc. Amer. Math. Soc., 99:3 (1987), 409–414
- Y. Sakamaki, “Automorphism groups on normal singular cubic surfaces with no parameters”, Trans. Amer. Math. Soc., 362:5 (2010), 2641–2666
- Дж. Хамфри, Линейные алгебраические группы, Наука, M., 1980, 400 с.
- V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry (Levico Terme, 2012), Springer Proc. Math. Stat., 79, Springer, Cham, 2014, 185–213
- A. G. Kuznetsov, Y. G. Prokhorov, C. A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jpn. J. Math., 13:1 (2018), 109–185
- L. Esser, “Automorphisms of weighted projective hypersurfaces”, J. Pure Appl. Algebra, 228:6 (2024), 107628, 21 pp.
- I. V. Dolgachev, V. A. Iskovskikh, “Finite subgroups of the plane Cremona group”, Algebra, arithmetic, and geometry, In honor of Yu. I. Manin, v. I, Progr. Math., 269, Birkhäuser Boston, Ltd., Boston, MA, 2009, 443–548
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