Submission date: 20 September 2014.

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.

Mathematics Subject Classification: 34M50, 03C45

Keywords and phrases:

Full text arXiv 1409.5915: pdf, ps.