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
Periods for irregular singular connections on surfaces
Marco Hien
We define homology groups for flat irregular singular connections on surfaces and a pairing between these and the de Rham cohomology of the connection, generalizing work of S. Bloc…
math.AG2005
Periods for rank 1 irregular singular connections on surfaces
Marco Hien
We define a period pairing for flat, irregular singular, rank one connections, satisfying a technical condition regarding its stationary set, on complex surfaces between de Rham co…