Geodesic
Free abelian group actions on normal projective varieties: submaximal dynamical rank case
Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 1057-1073

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DOI

Let X be a normal projective variety of dimension n and G an abelian group of automorphisms such that all elements of $G\setminus \{\operatorname {id}\}$ 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 $\operatorname {rank} G = n - 2$.
DOI : 10.4153/S0008414X20000322
Mots-clés : Automorphism, dynamical degree, dynamical rank, topological entropy, Kodaira dimension, weak Calabi–Yau variety, special MRC fibration 
Hu, Fei; Li, Sichen. Free abelian group actions on normal projective varieties: submaximal dynamical rank case. Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 1057-1073. doi: 10.4153/S0008414X20000322
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     title = {Free abelian group actions on normal projective varieties: submaximal dynamical rank case},
     journal = {Canadian journal of mathematics},
     pages = {1057--1073},
     year = {2021},
     volume = {73},
     number = {4},
     doi = {10.4153/S0008414X20000322},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000322/}
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