An Open Adelic Image Theorem for Abelian Schemes

An Open Adelic Image Theorem for Abelian Schemes
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阿贝尔方案的开放A​​delic图像定理

DOI:
10.1093/imrn/rnu259
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发表时间:
2015
影响因子:
1
通讯作者:
A. Cadoret
A. Cadoret
中科院分区:
数学1区
文献类型:
--
作者:
A. Cadoret

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在本文中,我们证明了阿贝尔格式,更一般地说,家庭的1-动机的一个adelic开像定理。这一结果,这可以解释为一个adelic特化定理,例如显示了abbandage的伽罗瓦一般的闭点上最连接志村品种。2010年数学学科分类。小学:14 K15;中学:20 G40。
In this note, we prove an adelic open image theorem for abelian schemes and, more generally, families of 1-motives. This result, which can be interpreted as an adelic specialization theorem, shows for instance the abundancy of Galois-generic closed points on most connected Shimura varieties. 2010 Mathematics Subject Classification. Primary: 14K15; Secondary: 20G40.