Canonical subgroups of Barsotti-Tate groups
| dc.creator | Tian, Yichao | |
| dc.date | 2006-06-02 | |
| dc.date | 2008-08-19 | |
| dc.date.accessioned | 2026-07-07T09:57:11Z | |
| dc.date.available | 2026-07-07T09:57:11Z | |
| dc.description | Let $S$ be the spectrum of a complete discrete valuation ring with fraction field of characteristic 0 and perfect residue field of characteristic $p\geq 3$. Let $G$ be a truncated Barsotti-Tate group of level 1 over $S$. If ``$G$ is not too supersingular'', a condition that will be explicitly expressed in terms of the valuation of a certain determinant, we prove that we can canonically lift the kernel of the Frobenius endomorphism of its special fibre to a subgroup scheme of $G$, finite and flat over $S$. We call it the canonical subgroup of $G$. | |
| dc.description | 27 pages, part of the Ph.D. thesis, to appear in Annals of Math | |
| dc.identifier | https://arxiv.org/abs/math/0606059 | |
| dc.identifier | http://arxiv.org/abs/math/0606059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167251 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L05; 14L20; 11S15 | |
| dc.title | Canonical subgroups of Barsotti-Tate groups | |
| dc.type | text |