A hyperelliptic curve mapping to specified elliptic curves

被引：1

作者：

Im, Bo-Hae ^{[1
]}

Larsen, Michael ^{[2
]}

Zhan, Sailun ^{[3
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[3] Binghamton Univ, Dept Math & Stat, Binghamton, NY 13902 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 257卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

ABELIAN-VARIETIES; RANK; QUOTIENTS;

D O I：

10.1007/s11856-023-2546-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If an ordered 13-tuple (E1, horizontal ellipsis , E13) of elliptic curves over DOUBLE-STRUCK CAPITAL C is sufficiently general, there is no hyperelliptic curve which admits a non-trivial morphism to each of the Ei.

引用

页码：409 / 431

页数：23

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