The Resolution Property via Azumaya Algebras
Algebraic Geometry
2021-01-14 v3
Abstract
Using formal-local methods, we prove that a separated and normal tame Artin surface has the resolution property. By proving that normal tame Artin stacks can be rigidified, we ultimately reduce our analysis to establishing the existence of Azumaya algebras. Our construction passes through the case of tame Artin gerbes, tame Artin curves, and algebraic space surfaces, each of which we establish independently.
Cite
@article{arxiv.1711.04871,
title = {The Resolution Property via Azumaya Algebras},
author = {Siddharth Mathur},
journal= {arXiv preprint arXiv:1711.04871},
year = {2021}
}
Comments
33 pgs. Minor changes and corrections, to appear in Crelle