A subadditivity formula for multiplier ideals associated to log pairs

TL;DR

This paper extends existing subadditivity formulas for multiplier ideals to the setting of log pairs, providing a broader theoretical framework in algebraic geometry.

Contribution

It introduces a new subadditivity formula for multiplier ideals associated to log pairs, generalizing previous results by Demailly-Ein-Lazarsfeld, Eisenstein, and Takagi.

Findings

Proves a subadditivity formula for multiplier ideals of log pairs

Generalizes previous formulas to a broader class of algebraic objects

Enhances understanding of the structure of multiplier ideals in algebraic geometry

Abstract

As a generalization of formulas given by Demailly-Ein-Lazarsfeld, Eisenstein and Takagi, we prove a subadditivity formula for multiplier ideals associated to log pairs.