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arXiv · 2606.05137

The Azumification of orders

Timothy De Deyn
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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.

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Timothy De Deyn. 2026-06-03. The Azumification of orders. https://arxiv.org/abs/2606.05137

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