|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Unipotent morphisms
Daniel Bragg, Jack Hall and Siddharth Mathur |
|
Geometry & Topology 30 (2026) 929–958
|
 |
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 a unipotent analogue of Gabber’s theorem for torsion -gerbes, and that smooth Deligne–Mumford stacks with quasiprojective coarse spaces satisfy the resolution property in positive characteristic. Our main tool is a descent result for flags, which we prove using results of Schäppi. |
Keywords
algebraic stacks, algebraic groups, unipotent groups,
resolution property
|
Mathematical Subject Classification
Primary: 14A20
Secondary: 14G17
|
References |
Publication
Received: 16 February 2022
Revised: 25 November 2024
Accepted: 30 December 2024
Published: 20 April 2026
Proposed: Marc Levine
Seconded: Mark Gross, Dan Abramovich
|
Authors |
| Daniel Bragg | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
|
| Jack Hall | |
| School of Mathematics and
Statistics The University of Melbourne Parkville Australia |
|
| Siddharth Mathur | |
| Department of Mathematics Pontificia Universidad Católica de Chile Santiago Chile |
Department of Mathematics University of Georgia Athens, GA United States |
| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
