Now showing items 1-4 of 4

• #### Bernstein's inequality and holonomicity for certain singular rings ﻿

(2021)
External research report
Open Access
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly F-regular finitely generated graded ...
• #### Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands ﻿

(2019)
External research report
Open Access
This paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of ...
• #### D-modules, Bernstein-Sato polynomials and F-invariants of direct summands ﻿

(2017-12-01)
Article
Open Access
We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ...
• #### Poincaré series of multiplier and test ideals ﻿

(2021)
External research report
Open Access
We prove the rationality of the Poincaré series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carramiñana et al. Our results also hold for ...