%0 Journal Article %T Algebraic versus topological entropy for surfaces over finite fields %A H¨¦l¨¨ne Esnault %A Vasudevan Srinivas %J Mathematics %D 2011 %I arXiv %X 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 $\F_q $ is taken on the span of the N\'eron-Severi group inside of $\ell$-adic cohomology. v2: (some) typos removed, exposition (partly) improved. %U http://arxiv.org/abs/1105.2426v2