Syzygies of multiplier ideals on singular varieties

TL;DR

This paper extends known syzygetic properties of multiplier ideals from smooth varieties to singular varieties, broadening understanding of their algebraic structure in more complex geometric contexts.

Contribution

It introduces methods to generalize syzygetic properties of multiplier ideals to singular varieties, expanding the theoretical framework.

Findings

Extension of syzygetic properties to singular varieties

Broader applicability of multiplier ideals in algebraic geometry

Enhanced understanding of algebraic structures on singular spaces

Abstract

It was recently established by the first two authors that multiplier ideals on a smooth variety satisfy some special syzygetic properties. The purpose of this note is to show how some of these can be extended to the singular setting.