2 citations · 11 across the 40 of their papers we have counts for
48 papers
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 III. The algebra
Daniel Barlet
In this paper we introduce and study the ''convergent'' algebra (containing ''a'' and ''b'' and acting on holomorphic germs in ''a'') which naturally acts on the ''generalized Brie…
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) Briesko…
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…
Stable properties under weakly geometrically flat maps
Daniel Barlet, Jon Ingolfur Magnusson
In this note we show that a weakly geometrically flat map : M N between pure dimensional complex spaces has the local lifting property for cycles. From this resul…
Some comments on my study of period-integrals
Daniel Barlet
This text is a presentation (without proofs) of some of my recent results on the singular terms of asymptotic expansions of period-integrals using (a,b)-modules. I try to explain w…