Geometry of irreducible plane quartics and their quadratic residue conics

Hiro Tokunaga
2010 Journal of Singularities  
Let D be an irreducible plane curve in P 2 . In this article, we first introduce a notion of a quadratic residue curve modD, and study quadratic residue conics C mod an irreducible quartic curve Q. As an application, we study a dihedral cover of P 2 with branch locus C + Q and give two examples of Zariski pairs as by-products.
doi:10.5427/jsing.2010.2k fatcat:sjj7ivhw55dltcktgifo55v5zi