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arXiv · 1907.00229

Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case

Fei Hu·Sichen Li
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Abstract

Let $X$ be a normal projective variety of dimension $n$ and $G$ an abelian group of automorphisms such that all elements of $G\setminus \{\mathrm{id}\}$ are of positive entropy. Dinh and Sibony showed that $G$ is actually free abelian of rank $\le n - 1$. The maximal rank case has been well understood by De-Qi Zhang. We aim to characterize the pair $(X, G)$ such that $\mathrm{rank} G = n - 2$.

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Fei Hu, Sichen Li. 2019-06-29. Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case. https://doi.org/10.4153/s0008414x20000322

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