Algebraic versus topological entropy for surfaces over finite fields

Details Algebraic versus topological entropy for surfaces over finite fields Algebraic versus topological entropy for surfaces over finite fields

2011-05-12

arxiv.org/abs/1105.2426v2

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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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