5 papers
Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements
Dougal Davis, Ruijie Yang
In this work, we develop a new theory of multivariate V-filtration on D-modules along a simple normal crossing divisor and relate it with Sabbah's multi-filtration. We establish se…
Archimedean zeta functions, singularities, and Hodge theory
Dougal Davis, András C. LÅrincz, Ruijie Yang
We use Hodge theory to relate poles of the Archimedean zeta function of a holomorphic function with several invariants of singularities. First, we prove that the largest…
Filtrations of D-modules along semi-invariant functions
András C. LÅrincz, Ruijie Yang
Given a smooth algebraic variety X with an action of a connected reductive linear algebraic group G, and an equivariant D-module M, we study the G-decompositions of the associated…
Higher multiplier ideals
Christian Schnell, Ruijie Yang
We associate a family of ideal sheaves to any Q-effective divisor on a complex manifold, called higher multiplier ideals, using the theory of mixed Hodge modules and V-filtrations.…
On the Hodge and V-filtrations of mixed Hodge modules
Dougal Davis, Ruijie Yang
In this paper, we prove a Beilinson-type formula for the V-filtration of Kashiwara and Malgrange on a complex mixed Hodge module, using Hodge filtrations on the localization. Our f…