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arXiv · 2106.13399

On the Resolution of Reductive Monoids and Multiplicativity of $\gamma$-factors

Freydoon Shahidi·William Sokurski
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Abstract

In this article, we give a proof of multiplicativity for $\gamma$-factors, an equality of parabolically induced and inducing factors, in the context of the Braverman-Kazhdan/Ngo program, under the assumption of commutativity of the corresponding Fourier transforms and a certain generalized Harish-Chandra transform. We also discuss the resolution of singularities and their rationality for reductive monoids, which are among the basic objects in the program.

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Freydoon Shahidi, William Sokurski. 2021-06-25. On the Resolution of Reductive Monoids and Multiplicativity of $\gamma$-factors. https://arxiv.org/abs/2106.13399

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