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Preprint Number 335

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335. James Freitag
Completeness in Partial Differential Fields
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Submission date: 3 June 2011.

Abstract:

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

Full text arXiv 1106.0703: pdf, ps.


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