Mots-clés : del Pezzo surface, automorphism.
@article{SM_2024_215_12_a0,
author = {N. A. Virin},
title = {Automorphisms of {Du~Val} {del~Pezzo} surfaces},
journal = {Sbornik. Mathematics},
pages = {1582--1606},
year = {2024},
volume = {215},
number = {12},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2024_215_12_a0/}
}
N. A. Virin. Automorphisms of Du Val del Pezzo surfaces. Sbornik. Mathematics, Tome 215 (2024) no. 12, pp. 1582-1606. http://geodesic.mathdoc.fr/item/SM_2024_215_12_a0/
[1] I. V. Dolgachev, Classical algebraic geometry. A modern view, Cambridge Univ. Press, Cambridge, 2012, xii+639 pp. | DOI | MR | Zbl
[2] I. Cheltsov and Y. Prokhorov, “Del Pezzo surfaces with infinite automorphism groups”, Algebr. Geom., 8:3 (2021), 319–357 | DOI | MR | Zbl
[3] G. Martin and C. Stadlmayr, Weak del Pezzo surfaces with global vector fields, arXiv: 2007.03665
[4] D.-Q. Zhang, “Automorphisms of finite order on Gorenstein del Pezzo surfaces”, Trans. Amer. Math. Soc., 354:12 (2002), 4831–4845 | DOI | MR | Zbl
[5] B. Harbourne, “Rational surfaces with infinite automorphism group and no antipluricanonical curve”, Proc. Amer. Math. Soc., 99:3 (1987), 409–414 | DOI | MR | Zbl
[6] Y. Sakamaki, “Automorphism groups on normal singular cubic surfaces with no parameters”, Trans. Amer. Math. Soc., 362:5 (2010), 2641–2666 | DOI | MR | Zbl
[7] J. E. Humphreys, Linear algebraic groups, Grad. Texts Math., 21, Reprint of the 1st ed., Springer-Verlag, New York–Heidelberg, 2012, xiv+247 pp. | DOI | MR | Zbl
[8] 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 | DOI | MR | Zbl
[9] A. G. Kuznetsov, Y. G. Prokhorov and C. A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jpn. J. Math., 13:1 (2018), 109–185 | DOI | MR | Zbl
[10] L. Esser, “Automorphisms of weighted projective hypersurfaces”, J. Pure Appl. Algebra, 228:6 (2024), 107628, 21 pp. | DOI | MR | Zbl
[11] I. V. Dolgachev and 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 | DOI | MR | Zbl