Local Duality for 2-Dimensional Local Ring

Proceedings Mathematical Sciences

Belgacem Draouil¹ 

[1] Département de Mathématiques, Faculté des Sciences de Bizerte, 0 Jarzouna, Tunisia$$

关键词: Hasse principle;    purity;    local duality;    curves over higher local fields.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown