Factoring differential operators over algebraic curves in positive characteristic

08/24/2022

∙

by   Raphaël Pagès, et al.

∙

0

∙

share

We present an algorithm for factoring linear differential operators with coefficients in a finite separable extension of F p (x). Our methods rely on specific tools arising in positive characteristic: p-curvature, structure of simple central algebras and p-Riccati equations.