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arXiv · 1307.2388

Real and p-adic Picard-Vessiot fields

Teresa Crespo·Zbigniew Hajto·Marius van der Put
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Abstract

We consider differential modules over real and p-adic differential fields such that their field of constants is real closed (respectively p-adically closed). Using Deligne's work on Tannakian categories and a result of Serre on Galois cohomology, a purely algebraic proof of the existence and unicity of real (respectively p-adic) Picard-Vessiot fields is obtained.

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Teresa Crespo, Zbigniew Hajto, Marius van der Put. 2013-07-09. Real and p-adic Picard-Vessiot fields. https://arxiv.org/abs/1307.2388

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