Twisted Fermat curves over totally real fields
| dc.creator | Diaconu, Adrian | |
| dc.creator | Tian, Ye | |
| dc.date | 2007-06-04 | |
| dc.date.accessioned | 2026-07-07T08:04:05Z | |
| dc.date.available | 2026-07-07T08:04:05Z | |
| dc.description | Let p be a prime number, F a totally real field such that [F(mu_p): F]=2 and [F:Q] is odd. For delta \in F^times, let [delta] denote its class in F^times/F^{times p}. In this paper, we show Main Theorem. There are infinitely many classes [delta]\in F^times/F^{times p} such that the twisted affine Fermat curves W_delta: X^p+Y^p=delta have no F-rational points. | |
| dc.description | 24 pages, published | |
| dc.identifier | https://arxiv.org/abs/0706.0470 | |
| dc.identifier | http://arxiv.org/abs/0706.0470 | |
| dc.identifier | Ann. of Math. (2) 162 (2005), no. 3, 1353--1376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129818 | |
| dc.subject | Number Theory | |
| dc.subject | 11G40; 11F66 | |
| dc.title | Twisted Fermat curves over totally real fields | |
| dc.type | text |