On a discrepancy among Picard-Vessiot theories in positive characteristics
| dc.creator | Amano, Katsutoshi | |
| dc.date | 2006-12-22 | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T08:27:50Z | |
| dc.date.available | 2026-07-07T08:27:50Z | |
| dc.description | 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. | |
| dc.description | 10 pages; an informal research note; [v1->v2] Some unnecessary sentences (in page 1, page 5, etc) are removed | |
| dc.identifier | https://arxiv.org/abs/math/0612683 | |
| dc.identifier | http://arxiv.org/abs/math/0612683 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137407 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 12H05 (Primary); 14L15 (Secondary) | |
| dc.title | On a discrepancy among Picard-Vessiot theories in positive characteristics | |
| dc.type | text |