3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AG2007
Integral representations for solutions of exponential Gauss-Manin systems
Marco Hien, Celine Roucairol
Let f,g be two algebraically independent regular functions from the smooth affine complex variety U to the affine line. The associated exponential Gauss-Manin systems on the affine…
math.AG2006★ 3 cited
Formal structure of direct image of holonomic D-modules of exponential type
C. Roucairol
We compute formal invariants associated with the cohomology sheaves of the direct image of holonomic D-modules of exponential type. We also prove that every formal C[[t]]<\partial_…
math.AG2005
Irregularity of an analogue of the Gauss-Manin systems
C. Roucairol
In the D-modules theory, Gauss-Manin systems are defined by the direct image of the structure sheaf O by a morphism. A major theorem says that these systems have only regular singu…