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

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  • Guolei Zhong

Abstract

Let X be a Q$\mathbb {Q}$‐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 [23, Theorem 1.3].

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  • Guolei Zhong, 2023. "Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank," Mathematische Nachrichten, Wiley Blackwell, vol. 296(7), pages 3128-3135, July.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:7:p:3128-3135
    DOI: 10.1002/mana.202200127
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