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

Authors

Meirav Amram
Cheng Gong
Mina Teicher
Wan-Yuan Xu

DOI

10.3906/mat-1410-18

Abstract

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".

Keywords

Line arrangements, moduli spaces, irreducibility

First Page

618

Last Page

644

Recommended Citation

Amram, Meirav; Gong, Cheng; Teicher, Mina; and Xu, Wan-Yuan (2015) "Moduli spaces of arrangements of 11 projective lines with a quintuple point," Turkish Journal of Mathematics: Vol. 39: No. 5, Article 3. https://doi.org/10.3906/mat-1410-18
Available at: https://journals.tubitak.gov.tr/math/vol39/iss5/3