Abstract
We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite field $\mathbb{F}_{q}$ is taken on the span of the Néron--Severi group inside of $\ell$-adic cohomology.
Citation
Hélène Esnault. Vasudevan Srinivas. "Algebraic versus topological entropy for surfaces over finite fields." Osaka J. Math. 50 (3) 827 - 846, September 2013.
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