A remark on higher congruences for the number of rational points of varieties defined over a finite field

Details A remark on higher congruences for the number of rational points of varieties defined over a finite field A remark on higher congruences for the number of rational points of varieties defined over a finite field

2005-07-16

arxiv.org/abs/math/0507331v1

Mathematics

Number Theory

latex 6 pages

Scientific paper

We show that there is no simple congruence formula for the number of points
of the mod p reduction of a regular model of a smooth proper variety defined
over a local field with $\ell$-adic cohomology supported in codimension $\ge
\kappa$.

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