%0 Journal Article
%T Real Algebraic Threefolds III: Conic Bundles
%A J¨˘nos Koll¨˘r
%J Mathematics
%D 1998
%I arXiv
%X This is the third of a series of papers studying real algebraic threefolds, but the methods are mostly independent from the previous two. Let $f:X\to S$ be a map of a smooth projective real algebraic 3-fold to a surface $S$ whose general fibers are rational curves. Assume that the set of real points of $X$ is an orientable 3-manifold $M$. The aim of the paper is to give a topological description of $M$. It is shown that $M$ is either Seifert fibered or a connected sum of lens spaces. Much stronger results hold if $S$ is rational.
%U http://arxiv.org/abs/math/9802053v1