The first author was supported by the Russian Academic Excellence Project “5-100” and by the Royal Society grant No. IES/R1/180205. The second author was supported by Laboratory of Mirror Symmetry NRU HSE, RF government grant, ag. No. 14.641.31.0001. The third author was supported by the Russian Academic Excellence Project “5-100”, the grants RFFI 15-01-02158, RFFI 15-01-02164, and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”. The last two authors are also Young Russian Mathematics award winners and would like to thank its sponsors and jury.
Поступила в редакцию: 15.11.2015 Исправленный вариант: 31.01.2017
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Статья
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Эта публикация цитируется в следующих 12 статьяx:
Ciro Ciliberto, Mikhail Zaidenberg, “Gromov Elliptic Resolutions of Quartic Double Solids”, Taiwanese J. Math., -1:-1 (2025)
Yuri Prokhorov, “On the birational geometry of Q-Fano threefolds of large Fano index, I”, Ann Univ Ferrara, 70:3 (2024), 955
Alessandro Verra, Springer INdAM Series, 53, Algebraic Geometry between Tradition and Future, 2023, 191
Yuri Prokhorov, “Rationality of Fano threefolds with terminal Gorenstein singularities, II”, Rend. Circ. Mat. Palermo (2), 72 (2023), 1797–1821
Ivan Cheltsov, Adrien Dubouloz, Takashi Kishimoto, “Toric G-solid Fano threefolds”, Sel. Math. New Ser., 29:2 (2023)
А. А. Авилов, “Бирациональная жесткость трехмерных многообразий дель Пеццо степени 2”, Матем. сб., 214:6 (2023), 3–40; A. A. Avilov, “Birational rigidity of G-del Pezzo threefolds of degree 2”, Sb. Math., 214:6 (2023), 757–792
Olof Bergvall, “Arithmetic and topology of classical structures associated with plane quartics”, European Journal of Mathematics, 9:4 (2023)
Ivan Cheltsov, “Kummer quartic double solids”, Rend. Circ. Mat. Palermo, II. Ser, 72:3 (2023), 1993
Camilla Felisetti, Mirko Mauri, “P=W conjectures for character varieties with symplectic resolution”, Journal de l'École polytechnique — Mathématiques, 9 (2022), 853
Ivan Cheltsov, Alexander Kuznetsov, Konstantin Shramov, “Coble fourfold, S6-invariant quartic threefolds, and Wiman–Edge sextics”, Algebra Number Theory, 14:1 (2020), 213–274
Ю. Г. Прохоров, “Рациональность трехмерных многообразий Фано с терминальными горенштейновыми особенностями. I”, Труды МИАН, 307 (2019), 230–253; Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Proc. Steklov Inst. Math., 307 (2019), 210–231
В. В. Пржиялковский, И. А. Чельцов, К. А. Шрамов, “Трехмерные многообразия Фано с бесконечными группами автоморфизмов”, Изв. РАН. Сер. матем., 83:4 (2019), 226–280; V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Fano threefolds with infinite automorphism groups”, Izv. Math., 83:4 (2019), 860–907