Torsion points on families of products of elliptic curves

被引：25

作者：

Masser, D. ^{[1
]}

Zannier, U. ^{[2
]}

机构：

[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

[2] Scuola Normale, I-56126 Pisa, Italy

来源：

ADVANCES IN MATHEMATICS | 2014年 / 259卷

关键词：

Torsion; Abelian scheme; Unlikely intersections; ANOMALOUS POINTS;

D O I：

10.1016/j.aim.2014.03.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent paper we proved a special case of a variant of Pink's Conjecture for a variety inside a semiabelian scheme: namely for any curve inside any scheme isogenous to a fibred product of two isogenous elliptic schemes. Here we go ahead with the programme of settling the conjecture for general abelian surface schemes by completing the proof for all non-simple surfaces. This involves some entirely new and crucial issues. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：116 / 133

页数：18

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