4 papers · 1 filter
Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials
Andras Lorincz, Ruijie Yang
In this paper, we relate multiplicities of Bernstein--Sato-type polynomials with respect to a holomorphic function f to several singularity invariants. First, we introduce certain…
Filtrations of D-modules along semi-invariant functions
András C. Lőrincz, 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…
Holonomic functions and prehomogeneous spaces
András Cristian Lőrincz
A function that is analytic on a domain of is holonomic if it is the solution to a holonomic system of linear homogeneous differential equations with polynomial coef…
Free resolutions of orbit closures of Dynkin quivers
András C. Lőrincz, Jerzy Weyman
We use the Kempf-Lascoux-Weyman geometric technique in order to determine the minimal free resolutions of some orbit closures of quivers. As a consequence, we obtain that for Dynki…