Localization of plus-one generated arrangements

2019/08/30 by Palezzato, Elisa, Torielli, Michele
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.11667

Abstract

We study the classes of free and plus-one generated hyperplane arrangements. Specifically, we describe how to compute the associated prime ideals of the Jacobian ideal of such an arrangement from its lattice of intersection. Moreover, we prove that the localization of a plus-one generated arrangement is free or plus-one generated.

Related

• Plus-one generated and next to free arrangements of hyperplanes
• New characterizations of freeness for hyperplane arrangements
• The Jacobian ideal of a hyperplane arrangement
• Free arrangements with low exponents
• A geometric perspective on plus-one generated arrangements of lines