Bounds for the size of integral points on curves of genus zero

被引：9

作者：

Poulakis, D ^{[1
]}

机构：

[1] Aristotelian Univ Thessaloniki, Dept Math, GR-54006 Thessaloniki, Greece

来源：

ACTA MATHEMATICA HUNGARICA | 2001年 / 93卷 / 04期

关键词：

algebraic curve of genus 0; integer point; valuation;

D O I：

10.1023/A:1017971406157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraic number field and F(X, Y) be an absolutely irreducible polynomial of K[X, Y] such that the curve defined by the equation F(X, Y) = 0 is of genus 0 with at least three infinite valuations. In this paper we establish explicit upper bounds for the size of integral solutions to the equation F(X, Y) = 0 defined over K, improving significantly earlier estimates.

引用

页码：327 / 346

页数：20

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