Modular Construction of Free Hyperplane Arrangements

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Tsujie, Shuhei
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210768
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modular Construction of Free Hyperplane Arrangements. Shuhei Tsujie. SIGMA 16 (2020), 080, 19 pages

In this article, we study the freeness of hyperplane arrangements. One of the most investigated arrangements is a graphic arrangement. Stanley proved that a graphic arrangement is free if and only if the corresponding graph is chordal, and Dirac showed that a graph is chordal if and only if the grap...