Siegel's theorem and the abc conjecture
| dc.creator | Surroca, Andrea | |
| dc.date | 2004-08-12 | |
| dc.date.accessioned | 2026-07-07T06:26:39Z | |
| dc.date.available | 2026-07-07T06:26:39Z | |
| dc.description | Following N. Elkies ("ABC implies Mordell") we show that the abc conjecture of Masser-Oesterle implies an effective version of Siegel's theorem about integral points on algebraic curves, i.e. an upper bound for the S-integral points where the dependence on S is explicit. The converse statement is also announced in this note. For both results, the main geometric tool is a theorem of G.V. Belyi. | |
| dc.description | 10 pages; to appear in Rivista Matematica dell'Universita' di Parma, Atti del Secondo Convegno Italiano di Teoria dei Numeri | |
| dc.identifier | https://arxiv.org/abs/math/0408168 | |
| dc.identifier | http://arxiv.org/abs/math/0408168 | |
| dc.identifier | Riv. Mat. Univ. Parma (7) 3* (2004), 323--332. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97170 | |
| dc.subject | Number Theory | |
| dc.subject | 11G30; 11J25; 11G50 | |
| dc.title | Siegel's theorem and the abc conjecture | |
| dc.type | text |