Huisman, Johannes; Mangolte, Frédéric Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety. (English) Zbl 1108.14048 Topology 44, No. 1, 63-71 (2005). Summary: 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 J. Kollár [in: Taniguchi conference on mathematics Nara ’98. Adv. Stud. Pure Math. 31, 127–145 (2001; Zbl 1036.14010)]. Cited in 1 ReviewCited in 5 Documents MSC: 14P25 Topology of real algebraic varieties 57N10 Topology of general \(3\)-manifolds (MSC2010) 57M50 General geometric structures on low-dimensional manifolds Keywords:uniruled algebraic variety; Seifert manifold; Klein surface; equivariant line bundle Citations:Zbl 1036.14010 PDFBibTeX XMLCite \textit{J. Huisman} and \textit{F. Mangolte}, Topology 44, No. 1, 63--71 (2005; Zbl 1108.14048) Full Text: DOI arXiv