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.
Original language | English (US) |
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Pages (from-to) | 301-309 |
Number of pages | 9 |
Journal | Communications in Algebra |
Volume | 49 |
Issue number | 1 |
DOIs | |
State | Published - 2020 |
Externally published | Yes |
Keywords
- 32S22
- 52C35
- Associated prime ideal
- freeness
- hyperplane arrangements
- localization of arrangements
- plus-one generated arrangement
ASJC Scopus subject areas
- Algebra and Number Theory