On the PGL2-invariant quadruples of torsion points of elliptic curves

被引：0
|
作者：
Bogomolov, Fedor A. [1 ,2 ]
Fu, Hang [3 ]
机构：
[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
[2] Natl Res Univ Higher Sch Econ, AG Lab, 6 Usacheva St, Moscow 119048, Russia
[3] Natl Taiwan Univ, Natl Ctr Theoret Sci, Taipei, Taiwan
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 6卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
Elliptic curves; Torsion points; q-series; Congruence subgroups; Modular curves; INTERSECTION;
D O I：
10.1007/s40879-019-00377-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E be an elliptic curve and pi : E -> P-1 a standard double cover identifying +/- P. E. It is known that for some torsion points P-i is an element of E, 1 <= i <= 4, the cross ratio of {pi( P-i)}(i=1)(4) is independent of E. We will give a complete classification of such quadruples.
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页码：1236 / 1253
页数：18
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