Deligne's conjecture on the Lefschetz trace formula for pn-torsion \'etale cohomology

Abstract

Deligne's conjecture is the Lefschetz trace formula for correspondences defined over a finite field. In this paper, we prove an analogous statement of Deligne's conjecture with respect to pn-torsion \'etale cohomology under certain conditions, where p is the characteristic of the base field.

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