Asymptotic formula for Tate-Shafarevich groups of p-supersingular elliptic curves over anticyclotomic extensions

被引：1
|
作者：
Lei, Antonio [1 ]
Lim, Meng Fai [2 ,3 ]
Mueller, Katharina [4 ]
机构：
[1] Univ Ottawa, Dept Math & Stat, 150 Louis Pasteur Pvt, Ottawa, ON K1N 6N5, Canada
[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[3] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
[4] Univ Laval, Dept Math & Stat, Pavill Alexandre Vachon,1045 Ave Med, Quebec City, PQ G1V 0A6, Canada
来源：
ADVANCES IN MATHEMATICS | 2023年 / 434卷
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Anticyclotomic Iwasawa theory; Elliptic curves; Supersingular primes; Tate-Shafarevich groups; IWASAWA THEORY; HEEGNER CYCLES; SPECIAL VALUES; POINTS; Z(P)-EXTENSIONS; THEOREM;
D O I：
10.1016/j.aim.2023.109320
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let p >= 5 be a prime number and E/Q an elliptic curve with good supersingular reduction at p. Under the generalized Heegner hypothesis, we investigate the p-primary subgroups of the Tate-Shafarevich groups of E over number fields contained inside the anticyclotomic Z(p)-extension of an imaginary quadratic field where p splits. (c) 2023 Elsevier Inc. All rights reserved.
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页数：28
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