Hodge ideal and spectrum of weighted homogeneous isolated singularities

TL;DR

This paper explores the relationship between the Hodge spectrum and Hodge ideals specifically for weighted homogeneous isolated singularities, establishing a new connection in singularity theory.

Contribution

It introduces a novel link between Hodge spectrum and Hodge ideals for weighted homogeneous isolated singularities, expanding understanding in this area.

Findings

Established a connection between Hodge spectrum and Hodge ideals

Focused on weighted homogeneous isolated singularities

Provides new insights into singularity invariants

Abstract

This note provides a connection between the Hodge spectrum and the Hodge ideals recently developed by Musta\c{t}\v{a}--Popa in the case of weighted homogeneous isolated singularities.