Integrally Closed Ideals on Log Terminal Surfaces are Multiplier Ideals

TL;DR

This paper proves that on log terminal surfaces, every integrally closed ideal can be represented as a multiplier ideal, extending known results from smooth surfaces to a broader class.

Contribution

It extends the characterization of integrally closed ideals as multiplier ideals from smooth surfaces to log terminal surfaces.

Findings

All integrally closed ideals on log terminal surfaces are multiplier ideals.

The proof extends existing results from smooth to log terminal surfaces.

Provides a broader understanding of the structure of ideals on singular surfaces.

Abstract

We show that all integrally closed ideals on log terminal surfaces are multiplier ideals by extending an existing proof for smooth surfaces.