Canonical heights for abelian group actions of maximal dynamical rank

Fei Hu, Guolei Zhong

Let $X$ be a smooth projective variety of dimension $n\ge 2$ and $G\cong {\mathbf{Z}}^{n-1}$ a free abelian group of automorphisms of $X$ over $\overline{\mathbf{Q}}$. Suppose that $…