Conic bundles over real formal power series field

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


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).


Brauer group, conic bundle, quaternion algebra, ramification

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