Vojta's Inequality and Rational and Integral Points of Bounded Degree on Curves
| dc.creator | Levin, Aaron | |
| dc.date | 2006-01-27 | |
| dc.date.accessioned | 2026-07-07T06:59:24Z | |
| dc.date.available | 2026-07-07T06:59:24Z | |
| dc.description | Let C in C_1xC_2 be a curve of type (d_1,d_2) in the product of the two curves C_1 and C_2. Let d be a positive integer. We prove that if a certain inequality involving d_1, d_2, d, and the genera of the curves C_1, C_2, and C is satisfied, then the set of points P in C(\kbar) with [k(P):k]<=d is finite for any number field k. We prove a similar result for integral points of bounded degree on C. These results are obtained as consequences of an inequality of Vojta which generalizes the Roth-Wirsing theorem to curves. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601686 | |
| dc.identifier | http://arxiv.org/abs/math/0601686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107733 | |
| dc.subject | Number Theory | |
| dc.subject | 11G30 (Primary) 14G40, 14H25 (secondary) | |
| dc.title | Vojta's Inequality and Rational and Integral Points of Bounded Degree on Curves | |
| dc.type | text |