A Tannakian approach to patching
Algebraic Geometry
2020-04-28 v1
Abstract
We use Tannakian methods to show that patching for coherent sheaves implies patching for objects in any Noetherian algebraic stack with affine stabilizers. Among other things, this gives a straightforward way to prove patching for torsors under linear algebraic groups, as well as patching for sheaves and torsors on proper algebraic spaces.
Cite
@article{arxiv.2004.11933,
title = {A Tannakian approach to patching},
author = {Bastian Haase and Daniel Krashen and Max Lieblich},
journal= {arXiv preprint arXiv:2004.11933},
year = {2020}
}
Comments
15 pages, comments welcome at any time