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This article is cited in 34 scientific papers (total in 35 papers)
Birational automorphisms of conic bundles
V. G. Sarkisov
Abstract:
This paper studies birational automorphisms of algebraic threefolds representable in the form of conic bundles. It is shown that, under certain conditions on the degeneration curve of a conic bundle, the automorphisms preserve the conic bundle structure.
Bibliography: 18 titles.
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Mathematics of the USSR-Izvestiya, 1981, 17:1, 177–202
Bibliographic databases:
UDC:
513.6
MSC: Primary 14E35; Secondary 14J30, 14M20 Received: 11.03.1980
Citation:
V. G. Sarkisov, “Birational automorphisms of conic bundles”, Izv. Akad. Nauk SSSR Ser. Mat., 44:4 (1980), 918–945; Math. USSR-Izv., 17:1 (1981), 177–202
Citation in format AMSBIB
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\jour Math. USSR-Izv.
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http://mi.mathnet.ru/eng/izv1862 http://mi.mathnet.ru/eng/izv/v44/i4/p918
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This publication is cited in the following articles:
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V. G. Sarkisov, “On conic bundle structures”, Math. USSR-Izv., 20:2 (1983), 355–390
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A. V. Pukhlikov, “Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces”, Izv. Math., 62:1 (1998), 115–155
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M. M. Grinenko, “On Fibrations into del Pezzo Surfaces”, Math. Notes, 69:4 (2001), 499–513
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A. V. Pukhlikov, “Birationally rigid iterated Fano double covers”, Izv. Math., 67:3 (2003), 555–596
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S. Boukraa, S. Hassani, J.-M. Maillard, “Noetherian mappings”, Physica D: Nonlinear Phenomena, 185:1 (2003), 3
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F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946
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Pukhlikov, AV, “Birational Geometry of Algebraic Varieties with a Pencil of Fano Cyclic Covers”, Pure and Applied Mathematics Quarterly, 5:2 (2009), 641
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Michela Brundu, Gianni Sacchiero, “On the Singularities of Surfaces Ruled by Conics”, Communications in Algebra, 42:5 (2014), 1857
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A. V. Pukhlikov, “Birationally rigid Fano fibre spaces. II”, Izv. Math., 79:4 (2015), 809–837
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A. V. Pukhlikov, “Birational geometry of algebraic varieties fibred into Fano double spaces”, Izv. Math., 81:3 (2017), 618–644
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