Characterizing algebraic curves with infinitely many integral points
Number Theory
2009-07-14 v1
Abstract
A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper we give necessary and sufficient conditions for C to have infinitely many S-integral points.
Cite
@article{arxiv.0907.2097,
title = {Characterizing algebraic curves with infinitely many integral points},
author = {Yuri Bilu and Alvanos Paraskevas and Poulakis Dimitrios},
journal= {arXiv preprint arXiv:0907.2097},
year = {2009}
}
Comments
Int. J. Number Th. 5 (2009), 585-590