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Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms

Published 31 Jan 2021 in nlin.SI and math.RA | (2102.00520v4)

Abstract: We prove a Darboux-Jouanolou type theorem on the algebraic integrability of polynomial differential $r$-forms over arbitrary fields ($r\geq 1$). We also investigate the Darboux's method for producing integrating factors.

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