Abundance for uniruled pairs which are not rationally connected

  • Vladimir Lazić

    Universität des Saarlandes, Saarbrücken, Germany
Abundance for uniruled pairs which are not rationally connected cover

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Abstract

One of the central aims of the Minimal Model Program is to show that a projective log canonical pair with pseudoeffective has a good model, i.e. a minimal model such that is semiample. The goal of this paper is to show that this holds if is uniruled but not rationally connected, assuming the Minimal Model Program in dimension . Moreover, if is rationally connected, then we show that the existence of a good minimal model for follows from a nonexistence conjecture for a very specific class of rationally connected pairs of Calabi–Yau type.

Cite this article

Vladimir Lazić, Abundance for uniruled pairs which are not rationally connected. Enseign. Math. (2023), published online first

DOI 10.4171/LEM/1065