3 papers
math.NT2008
Curves over higher local fields
Belgacem Draouil
In this work, we prove the vanishing of the two cohomological group of the higher local field. This generalize the well-known propriety of finite field and one dimensional local fi…
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…