Moduli spaces of arrangements of 10 projective lines with quadruple points

DOI10.1016/j.aam.2013.05.002zbMath1283.14023arXiv1206.2486OpenAlexW2015167862MaRDI QIDQ394815

Mina Teicher, Fei Ye, Meirav Amram

Publication date: 27 January 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2486

zbMATH Keywords

moduli spacesirreducibleirreducibilityline arrangementshyperplane arrangementsprojective arrangements

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Configurations and arrangements of linear subspaces (14N20)

Related Items (9)

Some Remarks on the Realizability Spaces of (3,4)-Nets ⋮ Line arrangements with the maximal number of triple points ⋮ The height of a permutation and applications to distance between real line arrangements ⋮ Numerical invariants and moduli spaces for line arrangements ⋮ On left regular bands and real conic-line arrangements ⋮ The diffeomorphism type of small hyperplane arrangements is combinatorially determined ⋮ Combinatorial symmetry of line arrangements and applications ⋮ Orbits in \((\mathbb{P}^r)^n\) and equivariant quantum cohomology ⋮ Complements to Ample Divisors and Singularities

Cites Work

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• On the fundamental group of the complement of a complex hyperplane arrangement
• Rigidity of differentiable structure for new class of line arrangements
• The diffeomorphic types of the complements of arrangements in \(\mathbb C\mathbb P^{3}\). II.
• Diffeomorphic types of complements of nice point arrangements in \(\mathbb{C}\mathbb{P}^l\)
• Direct product of free groups as the fundamental group of the complement of a union of lines
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• \(\pi_{1}\)-classification of real arrangements with up to eight lines
• The diffeomorphic types of the complements of arrangements in \(\mathbb{C}\mathbb{P}^3\). I: Point arrangements
• Topology and combinatorics of real line arrangements
• Lattice-Isotopic Arrangements are Topologically Isomorphic

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