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".
Line arrangements, moduli spaces, irreducibility
Amram, Meirav; Gong, Cheng; Teicher, Mina; and Xu, Wan-Yuan
"Moduli spaces of arrangements of 11 projective lines with a quintuple point,"
Turkish Journal of Mathematics: Vol. 39:
5, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol39/iss5/3