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math.AG2026
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…
math.AG2026
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…
math.AG2024
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…