English

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

Algebraic Geometry 2022-07-18 v1 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.2207.07155,
  title  = {An effective criterion for finite monodromy of $\ell$-adic sheaves},
  author = {Antonio Rojas-León},
  journal= {arXiv preprint arXiv:2207.07155},
  year   = {2022}
}