Explicit local multiplicative convolution of ℓ-adic sheaves

Antonio Rojas-León ^[1]
1. [1] Universidad de Sevilla
  
  Universidad de Sevilla
  
  Sevilla, España
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 1373-1386
Idioma: inglés
DOI: 10.4171/RMI/1027
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Resumen
- 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.