Moduli spaces of arrangements of 12 projective lines with a sextic point

Meirav Amram; Eran Lieberman; Sheng-Li Tan; Mina Teicher; Xiao-Hang Wu

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arXiv · 2401.00821

Moduli spaces of arrangements of 12 projective lines with a sextic point

Meirav Amram·Eran Lieberman·Sheng-Li Tan·Mina Teicher·Xiao-Hang Wu

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Abstract

*This paper is from 2018* In this paper, we try to classify moduli spaces of arrangements of $12$ lines with sextic points. We show that moduli spaces of arrangements of $12$ lines with sextic points can consist of more than two connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible taking quotients by the complex conjugation by supply some potential Zariski pairs. Through complex conjugation we take quotients and supply some potential Zariski pairs.

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BibTeX RIS

Meirav Amram, Eran Lieberman, Sheng-Li Tan, Mina Teicher, Xiao-Hang Wu. 2024-01-01. Moduli spaces of arrangements of 12 projective lines with a sextic point. https://arxiv.org/abs/2401.00821

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