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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1982 Volume 46, Issue 2, Pages 371–408 (Mi im1620)

This article is cited in 70 papers

On conic bundle structures

V. G. Sarkisov


Abstract: This paper determines under which conditions an algebraic variety can be uniquely (up to equivalence) represented in the form of a conic bundle. The results are used to show that many conic bundles over rational varieties are nonrational, and to construct examples of nonrational algebraic threefolds whose three-dimensional integral cohomology group is trivial.
Bibliography: 16 titles.

UDC: 513.6

MSC: Primary 14E05, 14E40, 14J40, 14K20; Secondary 14K33, 14F20, 13A20, 16A16, 16A39

Received: 30.06.1981
Revised: 01.12.1981


 English version:
Mathematics of the USSR-Izvestiya, 1983, 20:2, 355–390

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© Steklov Math. Inst. of RAS, 2025