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arXiv · 2003.03760

Compact K\"ahler threefolds with the action of an abelian group of maximal rank

Guolei Zhong
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Abstract

In this note, we study the normal compact K\"ahler (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-\'etale quotient of a complex $3$-torus.

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Guolei Zhong. 2020-03-08. Compact K\"ahler threefolds with the action of an abelian group of maximal rank. https://doi.org/10.1090/proc/15728

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