On a t-exactness property of the Harish-Chandra transform
Representation Theory
2024-12-11 v1 Algebraic Geometry
Abstract
Using hyperbolic localization, we identify the nearby cycles along the Vinberg degeneration with the composition of Radon and Harish-Chandra functors, both considered for the category of character sheaves. This provides a new, simple proof of the exactness of this composition, extending previously known results to arbitrary monodromy and more general sheaf-theoretic set-ups.
Keywords
Cite
@article{arxiv.2412.07146,
title = {On a t-exactness property of the Harish-Chandra transform},
author = {Roman Gonin and Andrei Ionov and Kostiantyn Tolmachov},
journal= {arXiv preprint arXiv:2412.07146},
year = {2024}
}