9 papers
Calculating Hodge and weight filtrations on localizations
András C. Lőrincz, Michael Perlman
We describe the Macaulay2 package MixedHodgeModules, which computes Hodge and weight filtrations on localizations S_f of a polynomial ring S at a non-constant reduced polynomial f,…
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…
On the collapsing of homogeneous bundles in arbitrary characteristic
András Cristian Lőrincz
We study the geometry of equivariant, proper maps from homogeneous bundles over flag varieties to representations of , called collapsing maps. Kempf showed t…
Local cohomology on a subexceptional series of representations
András C. Lőrincz, Jerzy Weyman
We consider a series of four subexceptional representations coming from the third line of the Freudenthal-Tits magic square; using Bourbaki notation, these are fundamental represen…