Completeness in Partial Differential Fields

Details Completeness in Partial Differential Fields Completeness in Partial Differential Fields

2011-06-03

arxiv.org/abs/1106.0703v2

Mathematics

Logic

11 Pages

Scientific paper

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.

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