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.