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Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety. (English) Zbl 1108.14048

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)].

MSC:

14P25 Topology of real algebraic varieties
57N10 Topology of general \(3\)-manifolds (MSC2010)
57M50 General geometric structures on low-dimensional manifolds

Citations:

Zbl 1036.14010
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