On centralizers in Azumaya domains

Autor: Bitoun, Thomas, Desrochers, Justin
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $p.$
Comment: Added a description of the fraction field of the centralizer in positive characteristic. Accepted for publication in International Mathematics Research Notices
Databáze: arXiv