Completeness in Partial Differential Fields
Logic
2012-02-06 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1106.0703,
title = {Completeness in Partial Differential Fields},
author = {James Freitag},
journal= {arXiv preprint arXiv:1106.0703},
year = {2012}
}
Comments
11 Pages