Unipotent morphisms
Algebraic Geometry
2026-05-06 v2
Abstract
We introduce the theory of unipotent morphisms of algebraic stacks and prove a surprising local to global principle for a class of vector bundles. Two sample applications of our methods are the following: (1) a unipotent analogue of Gabber's Theorem for torsion -gerbes and (2) smooth Deligne-Mumford stacks with quasi-projective coarse spaces satisfy the resolution property in positive characteristic. Our main tool is a descent result for flags, which we prove using results of Sch\"appi.
Cite
@article{arxiv.2110.15041,
title = {Unipotent morphisms},
author = {Daniel Bragg and Jack Hall and Siddharth Mathur},
journal= {arXiv preprint arXiv:2110.15041},
year = {2026}
}
Comments
Final version, to appear in Geometry & Topology