The height of a permutation and applications to distance between real line arrangements

DOI10.3906/mat-1902-77zbMath1493.14091OpenAlexW3104350404MaRDI QIDQ5099802

Hao Max Sun, Meirav Amram, Mina Teicher, Moshe Cohen

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1902-77

zbMATH Keywords

automorphism groupmoduli spaceline arrangementsdistance invariantdegenerate arrangements

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Fibrations, degenerations in algebraic geometry (14D06) Computational aspects of algebraic curves (14Q05) Automorphisms of curves (14H37) Configurations and arrangements of linear subspaces (14N20)

Cites Work

• An arithmetic Zariski 4-tuple of twelve lines
• On the fundamental group of the complement of a complex hyperplane arrangement
• Classification of moduli spaces of arrangements of nine projective lines
• Moduli spaces of arrangements of 10 projective lines with quadruple points
• Combinatorial symmetry of line arrangements and applications
• An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
• Topology and combinatorics of real line arrangements
• Lattice-Isotopic Arrangements are Topologically Isomorphic
• On the connectivity of the realization spaces of line arrangements

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