Real Algebraic Threefolds IV: Del Pezzo Fibrations

Details Real Algebraic Threefolds IV: Del Pezzo Fibrations Real Algebraic Threefolds IV: Del Pezzo Fibrations

1999-01-06

arxiv.org/abs/math/9901022v1

Mathematics

Algebraic Geometry

LATEX2e, 32 pages

Scientific paper

This is the fourth of a series of papers studying real algebraic threefolds, but the methods are mostly independent from the previous ones. Let $f:X\to C$ be a map of a smooth projective real algebraic 3-fold to a curve $C$ whose general fibers are rational surfaces. 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 $M$.

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