37 citations · 53 across the 6 of their papers we have counts for
8 papers
Betti structures of hypergeometric equations
Davide Barco, Marco Hien, Andreas Hohl +1
We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the irregular Riemann-Hilbert correspond…
Stokes matrices for confluent hypergeometric equations
Marco Hien
We apply the method of [arXiv:1705.07610] to compute the Stokes matrices of non-resonant confluent hypergeometric differential equations. We discuss the ambiguity of the presentati…
Topological computation of some Stokes phenomena on the affine line
Andrea D'Agnolo, Marco Hien, Giovanni Morando +1
Let be a holonomic algebraic -module on the affine line, regular everywhere including at infinity. Malgrange gave a complete description of the Fourier-Lap…
The local Laplace transform of an elementary irregular meromorphic connection
Marco Hien, Claude Sabbah
We give a definition of the topological local Laplace transformation for a Stokes-filtered local system on the complex affine line and we compute in a topological way the Stokes da…
Periods for flat algebraic connections
Marco Hien
In previous work, we established a duality between the algebraic de Rham cohomology of a flat algebraic connection on a smooth quasi-projective surface over the complex numbers and…
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…