Katz-Radon transform of l-adic representations
Number Theory
2011-09-16 v3
Abstract
We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, which can be defined as the local additive convolution with a fixed tame character. The formula is similar to one proved by D. Arinkin in the D-module setting, and answers a question posed by N. Katz.
Cite
@article{arxiv.1106.5357,
title = {Katz-Radon transform of l-adic representations},
author = {Antonio Rojas-León},
journal= {arXiv preprint arXiv:1106.5357},
year = {2011}
}