Real Algebraic Threefolds IV: Del Pezzo Fibrations

1999/01/06 by János Kollár, Kollár, János · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9901022

LATEX2e, 32 pages

arxiv created 1999/01/06 · arxiv updated 2009/11/30

Abstract

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→ 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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