Galois actions on torsion points of universal one-dimensional formal modules
| dc.creator | Strauch, Matthias | |
| dc.date | 2007-09-21 | |
| dc.date.accessioned | 2026-07-07T08:31:39Z | |
| dc.date.available | 2026-07-07T08:31:39Z | |
| dc.description | Let $F$ be a local non-Archimedean field with ring of integers $o$. Let $\bf X$ be a one-dimensional formal $o$-module of $F$-height $n$ over the algebraic closure of the residue field of $o$. By the work of Drinfeld, the universal deformation $X$ of $\bf X$ is a formal group over a power series ring $R_0$ in $n-1$ variables over the completion of the maximal unramified extension of $o$. For $h \in \{0,...,n-1\}$ let $U_h$ be the subscheme of $\Spec(R_0)$ where the connected part of the associated divisible module of $X$ has height $h$. Using the theory of Drinfeld level structures we show that the representation of the fundamental group of $U_h$ on the Tate module of the etale quotient is surjective. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0709.3542 | |
| dc.identifier | http://arxiv.org/abs/0709.3542 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138562 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14G35, 14L05, 11G09, 11F85, 11F80 | |
| dc.title | Galois actions on torsion points of universal one-dimensional formal modules | |
| dc.type | text |