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arXiv · 2208.11365

Factoring differential operators over algebraic curves in positive characteristic

Raphaël Pagès
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Abstract

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.

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Raphaël Pagès. 2022-08-24. Factoring differential operators over algebraic curves in positive characteristic. https://arxiv.org/abs/2208.11365

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