Finite monodromy of some families of exponential sums
Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the one-parameter exponential sums t 7→P x ψ(xd + tx) over Fp has finite monodromy or not, and work out some explicit cases where this is computable.
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| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/83246 |
| Acesso em linha: | https://hdl.handle.net/11441/83246 https://doi.org/10.1016/j.jnt.2018.06.012 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Exponential sums Monodromy ℓ-Adic cohomology Almost perfect nonlinear functions |
| Resumo: | Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the one-parameter exponential sums t 7→P x ψ(xd + tx) over Fp has finite monodromy or not, and work out some explicit cases where this is computable. |
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