Picard-Vessiot theory for real partial differential fields

2013/02/07 by Crespo, Teresa, Hajto, Zbigniew
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.1703

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.

Related

• Real Picard-Vessiot theory
• Picard--Vessiot structures
• An intrinsic characterization of Picard-Vessiot extensions
• Existence of ∂-parameterized Picard-Vessiot extensions over fields with algebraically closed constants
• The Complete Picard Vessiot Closure