Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety

Johannes Huisman (1) , Frédéric Mangolte (2)

1 LM-Brest - Laboratoire de Mathématiques
2 LAMA - Laboratoire de Mathématiques

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 Jànos Kollàr.

Mots clés: uniruled algebraic variety; Seifert manifold; Klein surface; equivariant line bundle

Domaines: Géométrie algébrique [math.AG]

Johannes Huisman, Frédéric Mangolte. Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety. Topology, 2005, 44, pp.63-71. ⟨hal-00001369⟩