|
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
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
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
Linking options:
https://www.mathnet.ru/eng/adm324 https://www.mathnet.ru/eng/adm/y2004/i1/p1
|
|