Cycles on Jacobians of Fermat curves and hypergeometric functions

被引：0
|
作者：
Sarkar, Subham [1 ]
机构：
[1] Natl Inst Sci Educ & Res, Sch Math Sci, Bhubaneswar, India
来源：
JOURNAL OF ALGEBRA | 2024年 / 638卷
关键词：
Motivic cohomology; Regulator map; MIXED HODGE STRUCTURE; FUNDAMENTAL GROUP; MOTIVES;
D O I：
10.1016/j.jalgebra.2023.09.046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct certain higher Chow cycles in K1 of the Jacobian of Fermat curves, generalising a construction of Collino. Then we express the regulator of these elements in terms of the special values of hypergeometric functions.(c) 2023 Elsevier Inc. All rights reserved.
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页码：535 / 566
页数：32
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