An effective criterion for finite monodromy of ℓ\ell-adic sheaves

preprint2022arXivOpen access

Abstract

We provide an effective version of Katz' criterion for finiteness of the monodromy group of a lisse, pure of weight zero, ℓ\ell-adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf

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