K2 of families of curves with non-torsion differences in divisorial support

被引：0
|
作者：
Wang, Haixu [1 ]
Liu, Hang [2 ]
Tang, Guoping [1 ]
机构：
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 07期
基金：
中国国家自然科学基金;
关键词：
K-2; Curve; Beilinson's conjecture; Regulator;
D O I：
10.1016/j.jpaa.2021.106915
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct g independent (integral) elements in the kernel of the tame symbol on several families of curves with genus g = 1, 2, 4, 7. Furthermore, we prove that there exist non-torsion divisors P - Q with P, Q in the divisorial support of these K-2 elements when g = 1, 2, which is potentially different from previous constructions. (C) 2021 Elsevier B.V. All rights reserved.
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页数：16
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