Characterizing algebraic curves with infinitely many integral points

Details Characterizing algebraic curves with infinitely many integral points Characterizing algebraic curves with infinitely many integral points

2009-07-13

arxiv.org/abs/0907.2097v1

Intertantional Journal of Number Theory 5 (2009) 585-590

Mathematics

Number Theory

Int. J. Number Th. 5 (2009), 585-590

Scientific paper

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.

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