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Sbornik: Mathematics, 1996, Volume 187, Issue 7, Pages 1021–1038
DOI: https://doi.org/10.1070/SM1996v187n07ABEH000145 (Mi sm145) 		 
This article is cited in 22 scientific papers (total in 23 papers)

A rationality criterion for conic bundles

V. A. Iskovskikh
English version PDF (877 kB) Citations (23) Russian version article
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DOI: https://doi.org/10.1070/SM1996v187n07ABEH000145
Abstract: It is that a three-dimensional variety $X$ that is a conic bundle $\pi\colon X\to S$ in the Mori sense has a base with at most double rational singularities of type $A_n$. A rationality criterion is proved subject to this assumption in the case when the discriminant curve $C\subset S$ is large enough, for example, for the case when $p_a(C)>18$.
Received: 25.01.1996
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: Primary 14J30; Secondary 14E35, 14K30, 14E05, 14J17, 14J26
Language: English
Original paper language: Russian
Citation: V. A. Iskovskikh, “A rationality criterion for conic bundles”, Sb. Math., 187:7 (1996), 1021–1038
Citation in format AMSBIB
\Bibitem{Isk96}
\by V.~A.~Iskovskikh
\paper A rationality criterion for conic bundles
\jour Sb. Math.
\yr 1996
\vol 187
\issue 7
\pages 1021--1038
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030305548}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:53
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