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Real and p-adic Picard-Vessiot fields

Published 9 Jul 2013 in math.AG | (1307.2388v2)

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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