2 János Kollár

Every Orientable Seifert 3-manifold Is a Real Component of a Uniruled Algebraic Variety

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.

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Singularities – Seattle Lecture

Rational Curves on Varieties

On the Relative Pluricanonical Stability for 3-folds of General Type

The aim of this paper is to improve a theorem of János Kollár by a different method. Given a Complex projective threefold X of general type, suppose the plurigenus Pk(X) ≥ 2, Kollár proved that the (11k+5)-canonical map is birational. Here we show that either the (7k +3)-canonical map or the (7k +5)-canonical map is birational and the m-canonical map is stably birational for m ≥ 13k+6. If we su...