S-units attached to genus 3 hyperelliptic curves

被引：7

作者：

Arledge, J ^{[1
]}

机构：

[1] UNIV NEWCASTLE,DEPT MATH,NEWCASTLE,NSW 2308,AUSTRALIA

来源：

JOURNAL OF NUMBER THEORY | 1997年 / 63卷 / 01期

关键词：

D O I：

10.1006/jnth.1997.2073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a hyperelliptic curve of genus 3, with potentially goad reduction at all primes not dividing 3. defined over a number field ii. A function defined on thr Jacobian J of C will be constructed which. when evaluated at the 3-torsion points J[3] of J, will give S-units in K(J[3]): at most, the set S will consist of primes dividing 3. (C) 1997 Academic Press.

引用

页码：12 / 29

页数：18

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