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Algebra and Discrete Mathematics, 2004, Issue 1, Pages 1–16 (Mi adm324)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Conic bundles over real formal power series field

Dzmitry F. Bazyleu, Sergey V. Tikhonov, Vyacheslav I. Yanchevskii

Institute of Mathematics of the National Academy of Sciences of Belarus, ul. Surganova 11, 220072 Minsk, BELARUS
Full-text PDF (276 kB) Citations (2)
Abstract: We examine some properties of conic bundle rational surface over real formal power series field. We focus on the following problem: When does a conic bundle with prescribed degeneration data exist? We study also an algebraic counterpart of this problem (algebras, defined over a purely transcendental function field in one variable over real formal power series field).
Keywords: Brauer group, conic bundle, quaternion algebra, rami-fication.
Received: 28.11.2003
Revised: 02.02.2004
Bibliographic databases:
Document Type: Article
MSC: 16K20, 11E10, 11E04
Language: English
Citation: Dzmitry F. Bazyleu, Sergey V. Tikhonov, Vyacheslav I. Yanchevskii, “Conic bundles over real formal power series field”, Algebra Discrete Math., 2004, no. 1, 1–16
Citation in format AMSBIB
\Bibitem{BazTikYan04}
\by Dzmitry~F.~Bazyleu, Sergey~V.~Tikhonov, Vyacheslav~I.~Yanchevskii
\paper Conic bundles over real formal power series field
\jour Algebra Discrete Math.
\yr 2004
\issue 1
\pages 1--16
\mathnet{http://mi.mathnet.ru/adm324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051378}
\zmath{https://zbmath.org/?q=an:1068.16019}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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