Rational points of the group of components¶of a Néron model

Rational points of the group of components¶of a Néron model
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Néron 模型的组件组的有理点

DOI:
10.1007/s002290050140
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发表时间:
1998
影响因子:
0.6
通讯作者:
Qing Liu
Qing Liu
中科院分区:
数学4区
文献类型:
--
作者:
Siegfried Bosch;Qing Liu

文献摘要

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摘要:本文对nsamron模型的组件群结构进行了研究。这里我们承认不可分闭的剩余域,并且感兴趣的是有理点的子群,或者换句话说,是nsamron模型的几何连通分量的子群。我们考虑了阿贝尔变量和代数环面的nsamron模型,并给出了曲线的雅可比矩阵的详细计算。
Abstract:The structure of component groups of Néron models has been investigated on several occasions. Here we admit non-separably closed residue fields and are interested in the subgroup of rational points or, in other terms, in the subgroup of geometrically connected components of a Néron model. We consider Néron models of abelian varieties and of algebraic tori and give detailed computations in the case of Jacobians of curves.