Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations
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closedcommutingderivationsdifferentiallyfieldsgeometricseveralaxiomatization
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A geometric first-order axiomatization of differentially closed fields of characteristic zero with several commuting derivations, in the spirit of Pierce-Pillay, is formulated in terms of a relative notion of prolongation for Kolchin-closed sets.
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