Submission date: 29 October 2016

Abstract:

We prove that a differential field K is algebraically closed and Picard-Vessiot closed if and only if the differential Galois cohomology group H^1_∂(K,G) is trivial for any linear differential algebraic group G over K. We give an application to the parameterized Picard-Vessiot theory.

Mathematics Subject Classification: 12H05, 03C60

Keywords and phrases:

Full text arXiv 1610.09548: pdf, ps.