An intrinsic characterization of Picard-Vessiot extensions

2012/05/08 by Michael Wibmer, Wibmer, Michael
Mathematics · #12F10 #12H05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:12F10 #msc:12H05

paper · pdf · doi:10.48550/arxiv.1205.1726

arxiv created 2012/05/08 · arxiv updated 2012/05/09

Abstract

We present a characterization of differential Picard-Vessiot extensions which is analogous to the field theoretic characterization of Galois extensions in classical Galois theory.

Related

• A Note on Liouvillian Picard-Vessiot Extensions
• Picard-Vessiot theory for real partial differential fields
• Real Picard-Vessiot theory
• Galois theory of differential schemes
• Picard--Vessiot structures