Open AccessGeometry of irreducible plane quartics and their quadratic residue conics
Author(s) -
H. Tokunaga
Publication year - 2010
Publication title -
journal of singularities
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.5
H-Index - 12
ISSN - 1949-2006
DOI - 10.5427/jsing.2010.2k
Subject(s) - conic section , geometry , residue (chemistry) , quadratic equation , mathematics , plane (geometry) , physics , pure mathematics , chemistry , biochemistry
Let $D$ be an irreducible plane curve. In this article, we first introduce a notion of a quadratic residue curve mod $D$, and study quadratic residue concis $C$ 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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