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

Autor:	Gonin, Roman, Ionov, Andrei, Tolmachov, Kostiantyn
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.07146 Zobrazit plný text záznamu View this record from Arxiv