Using depth of coherent sheaves on noetherian algebraic stacks, we construct nonAzumaya
maximal orders in unramified central simple algebras over schemes of
dimension at least 3.
Publisher StatementThis is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 2016. 452: 94-105. DOI: 10.1016/j.jalgebra.2015.12.006.