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arXiv · 2203.07243

Existence of the equivariant minimal model program for compact K\"ahler threefolds with the action of an abelian group of maximal rank

Guolei Zhong
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Abstract

Let $X$ be a $\mathbb{Q}$-factorial compact K\"ahler 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.

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Guolei Zhong. 2022-03-14. Existence of the equivariant minimal model program for compact K\"ahler threefolds with the action of an abelian group of maximal rank. https://doi.org/10.1002/mana.202200127

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