ON THE TORSION ANOMALOUS CONJECTURE IN CM ABELIAN VARIETIES

被引：5

作者：

Checcoli, Sara ^{[1
]}

Viada, Evelina ^{[2
]}

机构：

[1] Univ Grenoble 1, Inst Fournier, F-38402 St Martin Dheres, France

[2] Univ Gottingen, Inst Math, D-37073 Gottingen, Germany

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 271卷 / 02期

关键词：

diophantine approximation; heights; abelian varieties; intersections with torsion varieties; SUBVARIETIES; BOUNDS;

D O I：

10.2140/pjm.2014.271.321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The torsion anomalous conjecture (TAC) states that a subvariety V of an abelian variety A has only finitely many maximal torsion anomalous subvarieties. In this work we prove, with an effective method, some cases of the TAC when the ambient variety A has CM, generalising our previous results in products of CM elliptic curves. When V is a curve, we give new results and we deduce some implications on the effective Mordell-Lang conjecture.

引用

页码：321 / 345

页数：25

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