Examples of geometric Bombieri-Lang-Noguchi outside Mordell-Lang: Nonrigid varieties with ample but not globally generated cotangent bundle

被引：0

作者：

Dupuy, Taylor

机构：

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 175卷

基金：

欧洲研究理事会;

关键词：

Lang-Bombieri; Bombieri-Lang; Diophantine geometry; Albanese; Ample cotangent bundle; CONJECTURE;

D O I：

10.1016/j.jnt.2016.09.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we provide examples of nonisotrivial varieties over a function fields with ample cotangent bundle and zero Albanese. This provides explicit examples of varieties which are not embeddable into Abelian varieties for which the geometric Bombieri-Lang-Noguchi conjecture is known to be true. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：158 / 166

页数：9

共 23 条

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