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Preprint Number 85

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85. David Pierce
Fields with several commuting derivations
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Submission date: 21 August 2007

Abstract:

The existentially closed models of the theory of fields (of arbitrary characteristic) with a given finite number of commuting derivations can be characterized geometrically, in several ways. In each case, the existentially closed models are those models that contain points of certain differential varieties, which are determined by certain ordinary varieties.

Mathematics Subject Classification: 03C10 (03C60, 12H05)

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