Abelian varieties over Q with bad reduction in one prime only
| dc.creator | Schoof, Rene' | |
| dc.date | 2005-02-16 | |
| dc.date.accessioned | 2026-07-07T05:17:05Z | |
| dc.date.available | 2026-07-07T05:17:05Z | |
| dc.description | Let l be a prime. We show that there do not exist any non-zero semi-stable abelian varieties over Q with good reduction outside l if and only if l=2, 3, 5, 7 or 13. We show that any semi-stable abelian variety over Q with good reduction outside l=11 is isogenous to a power of the Jacobian variety of the modular curve X_0(11). In addition we show that there do not exist any non-zero abelian varieties over Q with good reduction outside l acquiring semi-stable reduction at l over a tamely ramified extension if and only if l \le 5. | |
| dc.identifier | https://arxiv.org/abs/math/0502356 | |
| dc.identifier | http://arxiv.org/abs/math/0502356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74222 | |
| dc.subject | Number Theory | |
| dc.title | Abelian varieties over Q with bad reduction in one prime only | |
| dc.type | text |