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Free abelian group actions on normal projective varieties: submaximal dynamical rank case
- Part of
-
- Journal:
- Canadian Journal of Mathematics / Volume 73 / Issue 4 / August 2021
- Published online by Cambridge University Press:
- 14 May 2020, pp. 1057-1073
- Print publication:
- August 2021
-
- Article
- Export citation
-
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
$\operatorname {rank} G = n - 2$
.
