An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/144460 |
| Online Access: | https://hdl.handle.net/11441/144460 https://doi.org/10.1007/s10013-022-00603-1 |
| Access Level: | Open access |
| Keyword: | l-adic cohomology Monodromy |
| Summary: | We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf. |
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