Local duality for 2-dimensional local ring

被引：0

作者：

Draouil, Belgacem ^{[1
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Jarzouna 7021, Tunisia

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2008年 / 118卷 / 04期

关键词：

Hasse principle; purity; local duality; curves over higher local fields;

D O I：

10.1007/s12044-008-0040-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a local duality for some schemes associated to a 2-dimensional complete local ring whose residue field is an n-dimensional local field in the sense of Kato-Parshin. Our results generalize the Saito works in the case n = 0 and are applied to study the Bloch-Ogus complex for such rings in various cases.

引用

页码：525 / 536

页数：12

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