Moduli Spaces of Arrangements of 10 Projective Lines with Quadruple Points

Abstract

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.

Changed notations in the definition of moduli space to improve clarity. Results unchanged

References in corpus (1)

• On the connectivity of the realization spaces of line arrangements

Cited by in corpus (1)

• Moduli spaces of ten-line arrangements with double and triple points