Explicit local multiplicative convolution of ℓ-adic sheaves
We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two ℓ-adic sheaves on the torus Gm over the algebraic closure of a finite field in terms of the local monodromies of the factors. As a particular case, we recover Fu...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/79209 |
| Acceso en línea: | https://hdl.handle.net/11441/79209 https://doi.org/10.4171/RMI/1027 |
| Access Level: | acceso abierto |
| Palabra clave: | ℓ-adic cohomology Convolution Galois representations of local fields |
| Sumario: | We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two ℓ-adic sheaves on the torus Gm over the algebraic closure of a finite field in terms of the local monodromies of the factors. As a particular case, we recover Fu’s formulas for the local Fourier transform. |
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