Local duality for 2-dimensional local ring

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作者
Belgacem Draouil
机构
[1] Faculté des Sciences de Bizerte,Département de Mathématiques
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关键词
Hasse principle; purity; local duality; curves over higher local fields;
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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.
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页码:525 / 536
页数:11
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