On Kummer characters arising from Galois actions on the pro-p fundamental groups of once-punctured CM elliptic curves

被引：0

作者：

Ishii, Shun ^{[1
]}

机构：

[1] Keio Univ, Dept Math, 3-14-1 Hiyoshi,Kouhoku Ku, Yokohama 2238522, Japan

来源：

RESEARCH IN NUMBER THEORY | 2025年 / 11卷 / 01期

基金：

日本学术振兴会;

关键词：

Once-punctured elliptic curve; Complex multiplication; & Eacute; tale fundamental group; Galois representation; K-THEORY; COMPLEX MULTIPLICATION; CLASS FIELDS; CONJECTURE;

D O I：

10.1007/s40993-025-00622-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study certain characters arising from the Galois actions on the pro-p geometric fundamental groups of once-punctured CM elliptic curves. These characters may be regarded as analogues of the Soul & eacute; characters, which arise from the Galois action associated to the thrice-punctured projective line. We study various arithmetic assumptions under which such characters are nontrivial or even surjective.

引用

页数：30

共 22 条

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