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Preprint Number 1118

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1118. Anand Pillay
The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

Submission date: 29 October 2016


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.

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