5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.NT2012
Locally convex structures on higher local fields
Alberto Camara
We establish how a higher local field can be described as a locally convex vector space once an embedding of a local field into it has been fixed. This extends previous results tha…
math.NT2012
Functional analysis on two-dimensional local fields
Alberto Camara
We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces f…
math.AG2011★ 5 cited
Topology on rational points over higher local fields
Alberto Camara
We develop a sequential-topological study of rational points of schemes of finite type over local rings typical in higher dimensional number theory and algebraic geometry. These ri…