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Algebraic versus topological entropy for surfaces over finite fields

Hélène Esnault, Vasudevan Srinivas

Number 15
Author Hélène Esnault
Year 2011

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.

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