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An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves

Authors :
Antonio Rojas-León
Universidad de Sevilla. Departamento de Álgebra
Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía
Source :
Vietnam Journal of Mathematics.
Publication Year :
2023
Publisher :
Springer Science and Business Media LLC, 2023.

Abstract

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

Details

ISSN :
23052228 and 2305221X
Database :
OpenAIRE
Journal :
Vietnam Journal of Mathematics
Accession number :
edsair.doi.dedup.....d31d98105e36be653e843e3de08e1b92
Full Text :
https://doi.org/10.1007/s10013-022-00603-1