A note on the ramification of torsion points lying on curves of genus at least two
| dc.creator | Rossler, Damian | |
| dc.date | 2009-02-24 | |
| dc.date.accessioned | 2026-07-07T12:46:15Z | |
| dc.date.available | 2026-07-07T12:46:15Z | |
| dc.description | Let $C$ be a curve of genus $g\geqslant 2$ defined over the fraction field $K$ of a complete discrete valuation ring $R$ with algebraically closed residue field. Suppose that $\char(K)=0$ and that the characteristic of the residue field is not 2. Suppose that the Jacobian $\Jac(C)$ has semi-stable reduction over $R$. Embed $C$ in $\Jac(C)$ using a $K$-rational point. We show that the coordinates of the torsion points lying on $C$ lie in the unique moderately ramified quadratic extension of the field generated over $K$ by the coordinates of the $p$-torsion points on $\Jac(C)$. | |
| dc.identifier | https://arxiv.org/abs/0902.4161 | |
| dc.identifier | http://arxiv.org/abs/0902.4161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221317 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G20 | |
| dc.title | A note on the ramification of torsion points lying on curves of genus at least two | |
| dc.type | text |