p-adic Monodromy of the Universal Deformation of a HW-cyclic Barsotti-Tate Group
| dc.creator | Tian, Yichao | |
| dc.date | 2007-08-15 | |
| dc.date | 2008-08-22 | |
| dc.date.accessioned | 2026-07-07T09:57:49Z | |
| dc.date.available | 2026-07-07T09:57:49Z | |
| dc.description | Let k be an algebraically closed field of characteristic $p>0$, and $G_0$ be a Barsotti-Tate group (or $p$-divisible group) over k. We denote by $S$ the "algebraic" local moduli in characteristic p of $G_0$, by $G$ the universal deformation of $G_0$ over $S$, and by $U\subset S$ the ordinary locus of $G$. The etale part of $G$ over $U$ gives rise to a monodromy representation $ρ$ of the fundamental group of $U$ on the Tate module of $G$. Motivated by a famous theorem of Igusa, we prove in this article that $ρ$ is surjective if $G_0$ is connected and HW-cyclic. This latter condition is equivalent to that Oort's $a$-number of $G_0$ equals 1, and it is satisfied by all connected one-dimensional Barsotti-Tate groups over $k$. | |
| dc.description | 36 pages, part of the author's thesis | |
| dc.identifier | https://arxiv.org/abs/0708.2022 | |
| dc.identifier | http://arxiv.org/abs/0708.2022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167484 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L05,14F35,14G32 | |
| dc.title | p-adic Monodromy of the Universal Deformation of a HW-cyclic Barsotti-Tate Group | |
| dc.type | text |