On Néron models, divisors and modular curves
| dc.creator | Edixhoven, Bas | |
| dc.date | 1998-06-15 | |
| dc.date.accessioned | 2026-07-07T05:25:14Z | |
| dc.date.available | 2026-07-07T05:25:14Z | |
| dc.description | Let $p$ be a prime number such that the modular curve $X_0(p)$ has genus at least two. We show that the only points of the reduction mod $p$ of $X_0(p)$ with image in the reduction mod $p$ of $J_0(p)$ in the cuspidal group are the two cusps. This answers a question of Robert Coleman. For the proof we give a description of the special fibre of the Néron model of the jacobian of a semi-stable curve in terms of divisors. We also study to what extent the morphism from a semistable curve with given base point to the Néron model of its jacobian is a closed immmersion. Implicitly, logarithmic structures intervene, and a well-known modular form of weight $p+1$ on supersingular elliptic curves plays an important role. | |
| dc.identifier | https://arxiv.org/abs/math/9806173 | |
| dc.identifier | http://arxiv.org/abs/math/9806173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77105 | |
| dc.subject | Number Theory | |
| dc.title | On Néron models, divisors and modular curves | |
| dc.type | text |