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Picard-Vessiot theory for real partial differential fields

Published 7 Feb 2013 in math.AG | (1302.1703v2)

Abstract: We prove the existence of real Picard-Vessiot extensions for real partial differential fields with real closed field of constants. We establish a Galois correspondence theorem for these Picard-Vessiot extensions and characterize real Liouville extensions of real partial differential fields.

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