Katz-Radon transform of l-adic representations

Antonio Rojas-León

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arXiv · 1106.5357

Katz-Radon transform of l-adic representations

Antonio Rojas-León

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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.

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Antonio Rojas-León. 2011-09-15. Katz-Radon transform of l-adic representations. https://arxiv.org/abs/1106.5357

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