Pinching Azumaya algebras
Algebraic Geometry
2023-04-17 v2
Abstract
We show, that for a morphism of schemes from X to Y, that is a finite modification in finitely many closed points, a cohomological Brauer class on Y is represented by an Azumaya algebra if its pullback to X is represented by an Azumaya algebra. Part of the proof uses an extension of a result by Ferrand, on pinching of finite locally free sheaves, to Azumaya algebras.
Cite
@article{arxiv.2207.06344,
title = {Pinching Azumaya algebras},
author = {Johannes Fischer},
journal= {arXiv preprint arXiv:2207.06344},
year = {2023}
}
Comments
minor changes, to appear in J. Pure Appl. Algebra