2006/12/22 by Katsutoshi Amano, Amano, Katsutoshi
Mathematics · #12H05 (Primary) #14L15 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:12H05 #msc:14L15
paper · pdf · doi:10.48550/arxiv.math/0612683
10 pages; an informal research note; [v1->v2] Some unnecessary sentences (in page 1, page 5, etc) are removed
arxiv created 2007/09/06 · arxiv updated 2009/12/01
There is a serious discrepancy among literature on the Picard-Vessiot theory in positive characteristics (for iterative differential fields). It is about descriptions of Galois correspondence. We should use affine group schemes instead of algebraic matrix groups to obtain a suitable Galois correspondence. If one adheres to algebraic matrix groups, then his correspondence may not be bijective.