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arXiv · 1610.09548

The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

Anand Pillay
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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.

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Anand Pillay. 2016-10-29. The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups. https://arxiv.org/abs/1610.09548

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