Reconstructing general plane quartics from their inflection lines

2017/11/15 by Pacini, Marco, Testa, Damiano
#14H45 #14H50 #14N20 #14Q05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.05776

Abstract

Let C be a general plane quartic and let \rm Fl(C) denote the configuration of inflection lines of C. We show that if D is any plane quartic with the same configuration of inflection lines \rm Fl(C), then the quartics C and D coincide.

Related

• Plane quartics with at least 8 hyperinflection points
• Plane quartics: the matrix of bitangents
• Recovering plane curves of low degree from their inflection lines and inflection points
• Computing Dixmier Invariants and Some Geometric Configurations of Quartic Curves with 2 Involutions
• A computational approach to Lüroth quartics