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math.AG2007
Arithmetic of curves over two dimensional local field
Belgacem Draouil
We study the class field theory of curve defined over two dimensional local field. The approch used here is a combination of the work of Kato-Saito, and Yoshida where the base fiel…
math.AG2007
Grothendieck local duality and Cohomological Hasse principle
Belgacem Draouil
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 re…