Potentially Good Reduction of Barsotti-Tate Groups
| dc.creator | Liu, Tong | |
| dc.date | 2006-04-27 | |
| dc.date.accessioned | 2026-07-07T07:11:20Z | |
| dc.date.available | 2026-07-07T07:11:20Z | |
| dc.description | Let R be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field, K the fraction field of R. Suppose G is a Barsotti-Tate group (p-divisible group) defined over K which acquires good reduction over a finite extension K' of K. We prove that there exists a constant c which depends on the absolute ramification index e(K'/Q_p) and the height of G such that G has good reduction over K if and only if G[p^c] can be extended to a finite flat group scheme over R. For abelian varieties with potentially good reduction, this result generalizes Grothendieck's p-adic Neron-Ogg-Shafarevich criterion to finite level. We use methods that can be generalized to study semi-stable p-adic Galois representations with general Hodge-Tate weights, and in particular leads to a proof of a conjecture of Fontaine and gives a constant c as above that is independent of the height of G. | |
| dc.identifier | https://arxiv.org/abs/math/0604593 | |
| dc.identifier | http://arxiv.org/abs/math/0604593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111715 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F30,14L05 | |
| dc.title | Potentially Good Reduction of Barsotti-Tate Groups | |
| dc.type | text |