Interpretations and differential Galois extensions
Algebraic Geometry
2016-04-12 v2
Abstract
We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessarily algebraically closed, under a variety of assumptions on C and K.
Cite
@article{arxiv.1409.5915,
title = {Interpretations and differential Galois extensions},
author = {Moshe Kamensky and Anand Pillay},
journal= {arXiv preprint arXiv:1409.5915},
year = {2016}
}
Comments
29 pages Following an initial referee's report on this version, the authors found a mistake in one of the results about finding strongly normal extensions with additional properties. Correcting this mistake led to a substantial rewriting of the paper, with additional hypotheses, and the revised version was accepted by International Math. Research Notices