Real Algebraic and Analytic Geometry

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36. Johannes Huisman, Frédéric Mangolte:
Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety.

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Submission: 2003, March 13.

We show that any orientable Seifert 3-manifold is diffeomorphic to a connected component of the set of real points of a uniruled real algebraic variety, and prove a conjecture of János Kollár.

Mathematics Subject Classification (2000): 14P25.

Keywords and Phrases: uniruled algebraic variety, Seifert manifold, Klein surface, equivariant line bundle.

Full text, 9p.: dvi 51k, ps.gz 50k, pdf 198k.

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