2 papers
math.AG2025
An algebraic characterisation of non-Archimedean Stein spaces
Tom Biesbrouck
We introduce Liu algebras as Banach algebras which are 'locally affinoid', and define non-Archimedean Stein algebras as suitable inverse limits of these. We show that this gives ri…
math.AG2025
Birational zeta functions
Tom Biesbrouck, Nero Budur, Johannes Nicaise +1
We define a birational analog of the motivic zeta function of a reduced polynomial in terms of minimal models. It admits an intrinsic meaning in terms of contact loci of arcs, an a…