Families of p-divisible groups with constant Newton polygon
| dc.creator | oort, Frans | |
| dc.creator | Zink, Thomas | |
| dc.date | 2002-09-20 | |
| dc.date.accessioned | 2026-07-07T04:51:04Z | |
| dc.date.available | 2026-07-07T04:51:04Z | |
| dc.description | A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noetherian scheme S; we prove that there exists an isogeny from X to Y such that Y admits a slope filtration. In case S is regular this was proved by N. Katz for dim(S) = 1 and by T. Zink for dim(S) > 0. We give an example of a p-divisible group over a non-normal base which does not admit an isogeny to a p-divisible group with a slope filtration. | |
| dc.description | To be published in Documenta Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0209264 | |
| dc.identifier | http://arxiv.org/abs/math/0209264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65013 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L05, 14F30 | |
| dc.title | Families of p-divisible groups with constant Newton polygon | |
| dc.type | text |