Abstract

Dedicated to Professor Du Plessis on his sixtieth birthday. Abstract. Let D be an irreducible plane curve in P 2 . In this article, we rst 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.

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