Nearby cycles commute with proper direct image on stacks of shtukas
Algebraic Geometry
2026-02-18 v1 Number Theory
Abstract
Let be a generically reductive group over a smooth projective curve over a finite field. For any finite set , we show that nearby cycles commute with proper direct image from stacks of shtukas to . This generalizes some results of Salmon and the authors.
Cite
@article{arxiv.2409.16474,
title = {Nearby cycles commute with proper direct image on stacks of shtukas},
author = {Arnaud Eteve and Cong Xue},
journal= {arXiv preprint arXiv:2409.16474},
year = {2026}
}