An analog to Deuring's criterion for good reduction of elliptic curves
| dc.creator | Lehr, Claus | |
| dc.date | 2004-09-25 | |
| dc.date.accessioned | 2026-07-07T05:12:35Z | |
| dc.date.available | 2026-07-07T05:12:35Z | |
| dc.description | In this paper we study the reduction of $p$-cyclic covers of the $p$-adic line ramified at exactly four points. For $p=2$ these covers are elliptic curves and Deuring has given a criterion for when such a curve has good reduction. Here we consider the case of $p>2$ and completely determine the stable model of the cover. In particular we obtain a finite extension $R'$ of $R$ necessary for the stable reduction to be defined. No additional conditions are imposed on the geometry of the branch locus and thus this work can be viewed as a first step towards understanding the situation where branch points coalesce. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409493 | |
| dc.identifier | http://arxiv.org/abs/math/0409493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72624 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | An analog to Deuring's criterion for good reduction of elliptic curves | |
| dc.type | text |