Spectrum of hyperplane arrangements in four variables

Abstract

One of the most important invariants in singularity theory is the Hodge spectrum. Calculating the Hodge spectrum is a difficult task and formulas exist for only a few cases. In this article the main result is the formula for reduced hyperplane arrangements in four variables.

arXiv commentv3 : The proof is shortened by cutting a cominatorial calculation out and a reference is added. Also, a few minor corrections are made