The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups
Algebraic Geometry
2016-11-01 v1
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_\partial(K,G) is trivial for any linear differential algebraic group G over K. We give an application to the parameterized Picard-Vessiot theory.
Keywords
Cite
@article{arxiv.1610.09548,
title = {The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups},
author = {Anand Pillay},
journal= {arXiv preprint arXiv:1610.09548},
year = {2016}
}
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16 pages