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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 2, Pages 355–390
DOI: https://doi.org/10.1070/IM1983v020n02ABEH001354 (Mi im1620) 		 
This article is cited in 69 scientific papers (total in 70 papers)

On conic bundle structures

V. G. Sarkisov
English version PDF (1598 kB) Citations (70) Russian version article
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DOI: https://doi.org/10.1070/IM1983v020n02ABEH001354
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.
Received: 30.06.1981
Revised: 01.12.1981
Bibliographic databases:
UDC: 513.6
MSC: Primary 14E05, 14E40, 14J40, 14K20; Secondary 14K33, 14F20, 13A20, 16A16, 16A39
Language: English
Original paper language: Russian
Citation: V. G. Sarkisov, “On conic bundle structures”, Math. USSR-Izv., 20:2 (1983), 355–390
Citation in format AMSBIB
\Bibitem{Sar82}
\by V.~G.~Sarkisov
\paper On conic bundle structures
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 2
\pages 355--390
\mathnet{http://mi.mathnet.ru//eng/im1620}
\crossref{https://doi.org/10.1070/IM1983v020n02ABEH001354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651652}
\zmath{https://zbmath.org/?q=an:0593.14034}
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    • This publication is cited in the following 70 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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