4 papers · 1 filter
The -Trace System
Daniel Barlet
We study a simple 1-parameter perturbation of the regular holonomic Trace System satisfied by a complex power of the root of the universal polynomial of degree k as a holomorphic f…
Generalized Brieskorn Modules I: Convergent (a,b)-modules
Daniel Barlet
This paper is the first one of two papers whose goal is to give a converse to the main result of my previous paper [6], so to prove the existence of multiple poles for the distribu…
Generalized Brieskorn Modules II: Higher Bernstein Polynomials and Multiple Poles
Daniel Barlet
Our main result is to show that the existence of a root in. ----Nfor the p-th Bernstein polynomial of the (a,b)-module generated by a holomorphicform in the (convergent) Briesk…
On Symmetric and Anti-symmetric Partial Differential Operators
Daniel Barlet
We study the action of symmetric PDO on the module of anti-symmetric functions in . We show that over the Weyl algebra of the elementary symmetric functions, this…