We examine some properties of conic bundle ra-
tional surface over real formal power series field. We focus on the
following problem: When does a conic bundle with prescribed de-
generation data exist? We study also an algebraic counterpart of
this problem (algebras, defined over a purely transcendental func-
tion field in one variable over real formal power series field).
Статті IV International Algebraic Conference in Ukraine. This volume consists of papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.
