On the tame symbol of an algebraic curve

被引：18

作者：

Romo, FP ^{[1
]}

机构：

[1] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 09期

关键词：

D O I：

10.1081/AGB-120013323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to give a new definition of the tame symbol of an algebraic curve from the commutator of a certain central extension of groups. The definition offered is valid for each closed point p c C of an irreducible non singular curve over a perfect field. Moreover, when the curve is complete, the reciprocity law can be deduced from the finiteness of the cohomology groups H-0(C, O-C) and H-1 (C, O-C).

引用

页码：4349 / 4368

页数：20