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Factoring differential operators over algebraic curves in positive characteristic

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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https://hal.archives-ouvertes.fr/hal-03759105
Contributor : Raphaël Pagès Connect in order to contact the contributor
Submitted on : Tuesday, August 23, 2022 - 5:12:36 PM
Last modification on : Thursday, August 25, 2022 - 3:11:08 AM

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  • HAL Id : hal-03759105, version 1

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Raphaël Pagès. Factoring differential operators over algebraic curves in positive characteristic. ISSAC 2022 - International Symposium on Symbolic and Algebraic Computation, Jul 2022, Lille, France. ⟨hal-03759105⟩

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