Moduli Spaces of Arrangements of 12 Projective Lines with a Sextic Point

Key Points

• The aim is to classify moduli spaces of arrangements of 12 projective lines featuring a sextic point.
• Classified arrangements of 12 projective lines with a sextic point
• Analyzed connected components in moduli spaces
• Presented defining equations for non-irreducible moduli spaces
• Evaluated the impact of complex conjugation on these arrangements
• Identified multiple connected components in the moduli spaces
• Provided defining equations for specific arrangements
• Demonstrated potential for creating Zariski pairs after quotienting by complex conjugation