Publication

Orders That Are Etale-Locally Isomorphic

Eva Bayer Fluckiger, Mathieu Huruguen
2020
Journal Articles

Abstract

Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat etale R-algebra are isomorphic. On the other hand, this fails for hereditary orders with involution. The latter stands in contrast to a result of the first two authors, who proved this statement for Hermitian forms over hereditary R-orders with involution.

Official source

https://infoscience.epfl.ch/entities/publication/23e97e23-4ee0-4e12-a9b2-07fd73a8ca0d

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Orders That Are Etale-Locally Isomorphic

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