On centralizers in Azumaya domains
Rings and Algebras
2022-04-13 v2 Algebraic Geometry
Abstract
We prove a positive characteristic analogue of the classical result that the centralizer of a nonconstant differential operator in one variable is commutative. This leads to a new, short proof of that classical characteristic zero result, by reduction modulo
Cite
@article{arxiv.2201.04606,
title = {On centralizers in Azumaya domains},
author = {Thomas Bitoun and Justin Desrochers},
journal= {arXiv preprint arXiv:2201.04606},
year = {2022}
}
Comments
Added a description of the fraction field of the centralizer in positive characteristic. Accepted for publication in International Mathematics Research Notices