83 citations · 639 across the 50 of their papers we have counts for
48 papers · 1 filter
Moderate and rapid-decay nearby cycles for holonomic D-modules
Claude Sabbah
We introduce the notion of moderate and rapid decay nearby cycles relative to a holomorphic function for an arbitrary holonomic -module. They are proved to be $\ma…
Remarks on rigid irreducible meromorphic connections on the projective line
Claude Sabbah
We illustrate the Arinkin-Deligne-Katz algorithm for rigid irreducible meromorphic bundles with connection on the projective line by giving motivicity consequences similar to those…
Duality for Landau-Ginzburg models
Claude Sabbah
This article surveys various duality statements attached to a pair consisting of a smooth complex quasi-projective variety and a regular function on it. It is dedicated to the memo…
Degenerating complex variations of Hodge structure in dimension one
Claude Sabbah, Christian Schnell
We analyze the behavior of polarized complex variations of Hodge structure on the punctured unit disk. For integral variations of Hodge structure, this analysis was first carried o…
Relative Regular Riemann-Hilbert correspondence II
Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah
We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S of arbitrary dimension as parameter space, together with their main functorial proper…
Hodge properties of Airy moments
Claude Sabbah, Jeng-Daw Yu
We consider the complex analogues of symmetric power moments of cubic exponential sums. These are symmetric powers of the classical Airy differential equation. We show that their d…