On a discrepancy among Picard-Vessiot theories in positive characteristics
Commutative Algebra
2007-09-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0612683,
title = {On a discrepancy among Picard-Vessiot theories in positive characteristics},
author = {Katsutoshi Amano},
journal= {arXiv preprint arXiv:math/0612683},
year = {2007}
}
Comments
10 pages; an informal research note; [v1->v2] Some unnecessary sentences (in page 1, page 5, etc) are removed