K2 OF CERTAIN FAMILIES OF PLANE QUARTIC CURVES

被引：2
|
作者：
Liu, Hang [1 ]
Chang, Shan [2 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 07期
基金：
美国国家科学基金会;
关键词：
K-2; Beilinson's conjecture; quartic curve;
D O I：
10.1090/proc/13963
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct three elements in the kernel of the tame symbol on families of quartic curves. We show that these elements are integral under certain conditions on the parameters. Moreover, we prove that these elements are in general linearly independent by calculating the limit of the regulator.
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页码：2785 / 2796
页数：12
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