Email this article Automorphisms of Du Val del Pezzo surfaces
- Authors: Virin N.A.1
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
- Issue: Vol 215, No 12 (2024)
- Pages: 3-29
- Section: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/306665
- DOI: https://doi.org/10.4213/sm10052
- ID: 306665
Cite item
Open Access
Access granted
Subscription Access
Abstract
We present a description for the automorphism groups of Du Val del Pezzo surfaces whose automorphism groups are infinite.Bibliography: 11 titles.
Keywords
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
Supplementary files
