Moduli Spaces of Arrangements of 10 Projective Lines with Quadruple Points

Meirav Amram, Mina Teicher, Fei Ye

Published 2012-06-12, updated 2014-03-19Version 2

We classify moduli spaces of arrangements of 10 lines with quadruple points. We show that moduli spaces of arrangements of 10 lines with quadruple points may consist of more than 2 disconnected components, namely 3 or 4 distinct points. We also present defining equations to those arrangements whose moduli spaces are still reducible after taking quotients of complex conjugations.