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On the containment problem and sporadic simplicial line arrangements

Volume 135 / 2025

Marek Janasz Annales Polonici Mathematici 135 (2025), 207-220 MSC: Primary 14N20; Secondary 13A15, 52A20 DOI: 10.4064/ap240408-18-9 Published online: 25 February 2025

Abstract

We present two examples of inductively free sporadic simplicial arrangements of $31$ lines that have the same weak combinatorics, which allows us to answer negatively the questions regarding the containment problem formulated recently by Drabkin and Seceleanu.

Authors

  • Marek JanaszDepartment of Mathematics
    University of the National Education Commission
    30-084 Kraków, Poland
    e-mail

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