Singular units and isogenies between CM elliptic curves

被引：4
|
作者：
Li, Yingkun [1 ]
机构：
[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany
来源：
COMPOSITIO MATHEMATICA | 2021年 / 157卷 / 05期
关键词：
singular moduli; higher Green' s function; EISENSTEIN SERIES; HEEGNER POINTS; DERIVATIVES; MODULI; FORMS;
D O I：
10.1112/S0010437X21007077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we will apply the results of Gross-Zagier, Gross-Kohnen-Zagier and their generalizations to give a short proof that the differences of singular moduli are not units. As a consequence, we obtain a result on isogenies between reductions of CM elliptic curves.
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页码：1022 / 1035
页数：14
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