Moduli Spaces of Arrangements of 10 Projective Lines with Quadruple Points

2012/06/12 by Meirav Amram, Amram, Meirav, Mina Teicher +3 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.1206.2486

Changed notations in the definition of moduli space to improve clarity. Results unchanged

openalex publication_date 2012/06/12 · arxiv created 2014/03/19 · arxiv updated 2014/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify moduli spaces of arrangements of 10 lines with quadruple points. We show that moduli spaces of arrangements of 10 lines with quadruple points may consist of more than 2 disconnected components, namely 3 or 4 distinct points. We also present defining equations to those arrangements whose moduli spaces are still reducible after taking quotients of complex conjugations.

Citations

• On the connectivity of the realization spaces of line arrangements

Cited by

• Moduli spaces of ten-line arrangements with double and triple points

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