A note on Mustaţă's computation of multiplier ideals of hyperplane arrangements
Authors:
Zach Teitler
Affiliation:
Department of Mathematics, Southeastern Louisiana University, SLU 10687, Hammond, Louisiana 70401
Abstract:
In 2006, M. Mustaţă used jet schemes to compute the multiplier ideals of reduced hyperplane arrangements. We give a simpler proof using a log resolution and generalize to non-reduced arrangements. By applying the idea of wonderful models introduced by De Concini-Procesi in 1995, we also simplify the result. Indeed, Mustaţă's result expresses the multiplier ideal as an intersection, and our result uses (generally) fewer terms in the intersection.