Minimal truncations of supersingular p-divisible groups
| dc.creator | Nicole, Marc-Hubert | |
| dc.creator | Vasiu, Adrian | |
| dc.date | 2006-06-30 | |
| dc.date | 2007-07-06 | |
| dc.date.accessioned | 2026-07-07T08:57:10Z | |
| dc.date.available | 2026-07-07T08:57:10Z | |
| dc.description | Let k be an algebraically closed field of characteristic p>0. Let H be a supersingular p-divisible group over k of height 2d. We show that H is uniquely determined up to isomorphism by its truncation of level d (i.e., by H[p^d]). This proves Traverso's truncation conjecture for supersingular p-divisible groups. If H has a principal quasi-polarization λ, we show that (H,λ) is also uniquely determined up to isomorphism by its principally quasi-polarized truncated Barsotti--Tate group of level d (i.e., by (H[p^d],λ[p^d])). | |
| dc.description | 9 pages, LaTex; to appear in Indiana Univ. Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0606777 | |
| dc.identifier | http://arxiv.org/abs/math/0606777 | |
| dc.identifier | Indiana Univ. Math. J. {\bf 56} (2007), no. 6, pp. 2887-2897 | |
| dc.identifier | doi:10.1512/iumj.2007.56.3110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146867 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G10, 11G18, 14L05 | |
| dc.title | Minimal truncations of supersingular p-divisible groups | |
| dc.type | text |