Gras-type conjectures for function fields

被引：7

作者：

Popescu, CD ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

COMPOSITIO MATHEMATICA | 1999年 / 118卷 / 03期

关键词：

special values of abelian L-functions; units; class groups; characteristic p global fields; Chinburg's Omega(3)-conjecture;

D O I：

10.1023/A:1001586625441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on results obtained in [15], we construct groups of special S-units for function fields of characteristic p > 0, and show that they satisfy Gras-type Conjectures. We use these results in order to give a new proof of Chinburg's Omega(3)-Conjecture on the Galois module structure of the group of S-units, for cyclic extensions of prime degree of function fields.

引用

页码：263 / 290

页数：28

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