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Preprint Number 335
335. James Freitag
Completeness in Partial Differential Fields
Submission date: 3 June 2011.
We study completeness in partial differential varieties. We generalize many results from ordinary differential fields to the partial differential setting. In particular, we establish a valuative criterion for differential completeness and use it to give a new class of examples of complete partial differential varieties. We use methods from both differential algebra and model theory.
Mathematics Subject Classification: 03C65, 12H05
Keywords and phrases: differential algebraic groups
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