Compact Kähler threefolds with the action of an abelian group of maximal rank

Zhong, Guolei

doi:10.1090/proc/15728

Compact Kähler threefolds with the action of an abelian group of maximal rank
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Proc. Amer. Math. Soc. 150 (2022), 55-68 Request permission

Abstract:

In this note, we study the normal compact Kähler (possibly singular) threefold $X$ admitting the action of a free abelian group $G$ of maximal rank, all the non-trivial elements of which are of positive entropy. If such $X$ is further assumed to have only terminal singularities, then we prove that it is either a rationally connected projective threefold or bimeromorphic to a quasi-étale quotient of a complex $3$-torus.

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