CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS

被引：9

作者：

Alvanos, Paraskevas ^{[1
]}

Bilu, Yuri ^{[2
]}

Poulakis, Dimitrios ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

[2] Univ Bordeaux 1, Inst Math, F-33405 Talence, France

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2009年 / 5卷 / 04期

关键词：

Algebraic curves; integral points; Siegel's theorem; GENUS ZERO; EQUATIONS;

D O I：

10.1142/S1793042109002274

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：585 / 590

页数：6

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