Work

A stacky resolution of singularities for orders by Azumaya algebras

Year: 2026

Type: article

Abstract: We construct a stacky resolution of singularities for certain noncommutative spaces which can be viewed as ‘finite noncommutative extensions’ of schemes. More precisely, we show that any order over a reduced separated finite type scheme over a field of characteristic zero can be resolved by an Azumaya algebra over a smooth Deligne–Mumford stack by a sequence of stacky blow-ups.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2026.10.002

Author: Timothy De Deyn

Institution: Max Planck Institute for Mathematics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funders: Fonds De La Recherche Scientifique - FNRS, Fonds Wetenschappelijk Onderzoek, European Research Council