ALGEBRAIC POINTS OF GIVEN DEGREE ON THE AFFINE CURVE C : y2 = x5

被引：0
|
作者：
Sow, E. L. Hadji [1 ]
Fall, Moussa [1 ]
Sall, Oumar [1 ]
机构：
[1] Assane SECK Univ Ziguinchor, UFR Sci & Technol Math & Applicat Lab, Ziguinchor, Senegal
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2023年 / 60卷 / 02期
关键词：
planes curves; degree of algebraic points; rational points; algebraic extensions; Jacobian;
D O I：
10.17654/0972555523004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we determine the set of algebraic points of a given degree over Q on the curve of affine equation y2 = x5 + 42. This note extends a result of Mulholland in [8] who gave a description of the set of Q-rational points, i.e., the set of points of degree one over Q on this curve.
引用
收藏
页码：59 / 68
页数：10
相关论文
共 50 条
12345