Geodesic
Birational automorphisms of conic bundles
Izvestiya. Mathematics , Tome 17 (1981) no. 1, pp. 177-202

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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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     title = {Birational automorphisms of conic bundles},
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V. G. Sarkisov. Birational automorphisms of conic bundles. Izvestiya. Mathematics , Tome 17 (1981) no. 1, pp. 177-202. http://geodesic.mathdoc.fr/item/IM2_1981_17_1_a7/