Chevalley–Weil theorem and subgroups of class groups

被引：0

作者：

Yuri Bilu

Jean Gillibert

机构：

[1] Université de Bordeaux and CNRS,Institut de Mathématiques de Bordeaux

[2] Institut de Mathématiques de Toulouse,undefined

[3] CNRS UMR 5219,undefined

来源：

Israel Journal of Mathematics | 2018年 / 226卷

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D O I：

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中图分类号：

学科分类号：

摘要：

We prove, under some mild hypothesis, that an ´etale cover of curves defined over a number field has infinitely many specializations into an everywhere unramified extension of number fields. This constitutes an “absolute” version of the Chevalley–Weil theorem. Using this result, we are able to generalise the techniques of Mestre, Levin and the second author for constructing and counting number fields with large class group.

引用

页码：927 / 956

页数：29

共 23 条

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