Moduli Spaces of Arrangements of 12 Projective Lines with a Sextic Point

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

doi:10.3390/math14061052

Moduli Spaces of Arrangements of 12 Projective Lines with a Sextic Point

Meirav Amram
, Eran Lieberman
, Sheng Li Tan
, Mina Teicher
, Xiao Hang Wu^*

^*此作品的通讯作者

数学科学学院

Sami Shamoon College of Engineering
Bar-Ilan University
Wuhan University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we classify moduli spaces of arrangements of 12 lines with a sextic point. We show that these moduli spaces can consist of more than two connected components. We also present defining equations of arrangements whose moduli spaces are not irreducible, and after taking quotients by complex conjugation, we obtain potential Zariski pairs.

源语言	英语
文章编号	1052
期刊	Mathematics
卷	14
期	6
DOI	https://doi.org/10.3390/math14061052
出版状态	已出版 - 3月 2026

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10.3390/math14061052

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abstract = "In this paper, we classify moduli spaces of arrangements of 12 lines with a sextic point. We show that these moduli spaces can consist of more than two connected components. We also present defining equations of arrangements whose moduli spaces are not irreducible, and after taking quotients by complex conjugation, we obtain potential Zariski pairs.",

keywords = "classification of algebraic curves, line arrangements, moduli spaces, Zariski pairs",

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AU - Teicher, Mina

AU - Wu, Xiao Hang

PY - 2026/3

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N2 - In this paper, we classify moduli spaces of arrangements of 12 lines with a sextic point. We show that these moduli spaces can consist of more than two connected components. We also present defining equations of arrangements whose moduli spaces are not irreducible, and after taking quotients by complex conjugation, we obtain potential Zariski pairs.

AB - In this paper, we classify moduli spaces of arrangements of 12 lines with a sextic point. We show that these moduli spaces can consist of more than two connected components. We also present defining equations of arrangements whose moduli spaces are not irreducible, and after taking quotients by complex conjugation, we obtain potential Zariski pairs.

KW - classification of algebraic curves

KW - line arrangements

KW - moduli spaces

KW - Zariski pairs

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U2 - 10.3390/math14061052

DO - 10.3390/math14061052

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VL - 14

JO - Mathematics

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Moduli Spaces of Arrangements of 12 Projective Lines with a Sextic Point

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