Explicit local multiplicative convolution of \ell-adic sheaves

  • Antonio Rojas-León

    Universidad de Sevilla, Spain
Explicit local multiplicative convolution of $\ell$-adic sheaves cover
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Abstract

We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two \ell-adic sheaves on the torus Gm\mathbb G_m 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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Antonio Rojas-León, Explicit local multiplicative convolution of \ell-adic sheaves. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1373–1386

DOI 10.4171/RMI/1027