Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank

Abstract

Let $X$ be a $\mathbb{Q}$-factorial compact Kähler klt threefold admitting an action of a free abelian group $G$, which is of positive entropy and of maximal rank. After running the $G$-equivariant log minimal model program, we show that such $X$ is either rationally connected or bimeromorphic to a $Q$-complex torus. In particular, we fix an issue in the proof of our previous paper.

Minor revision, 13 pages, Mathematische Nachrichten (to appear)

References in corpus (2)

• Int-amplified endomorphisms of compact Kähler spaces
• Compact Kähler threefolds with the action of an abelian group of maximal rank

Cited by in corpus (1)

• Canonical heights for abelian group actions of maximal dynamical rank