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arXiv · 2412.07146

On a t-exactness property of the Harish-Chandra transform

Roman Gonin·Andrei Ionov·Kostiantyn Tolmachov
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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.

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Roman Gonin, Andrei Ionov, Kostiantyn Tolmachov. 2024-12-10. On a t-exactness property of the Harish-Chandra transform. https://arxiv.org/abs/2412.07146

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