Unboundedness of the number of rational points on curves over function fields

被引：0

作者：

Conceicao, Ricardo ^{[1
]}

Ulmer, Douglas ^{[2
]}

Voloch, Jose Felipe ^{[3
]}

机构：

[1] Emory Univ, Oxford Coll, Dept Math, Oxford, GA 30054 USA

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2012年 / 18卷

关键词：

Algebraic curves; function fields; rational points;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct sequences of smooth nonisotrivial curves of every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded.

引用

页码：291 / 293

页数：3