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Factoring differential operators over algebraic curves in positive characteristic

Published 24 Aug 2022 in cs.SC and math.OA | (2208.11365v1)

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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