Moduli spaces of arrangements of 11 projective lines with a quintuple point | Zendy

Meirav Amram | Zendy; Cheng Gong | Zendy; Mina Teicher | Zendy; WanYuan Xu | Zendy

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Moduli spaces of arrangements of 11 projective lines with a quintuple point

Author(s) -

Meirav Amram,

Cheng Gong,

Mina Teicher,

WanYuan Xu

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1410-18

Subject(s) - mathematics , moduli space , pure mathematics , modular equation , moduli , moduli of algebraic curves , quotient , point (geometry) , algebra over a field , geometry , physics , quantum mechanics

In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".

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