Geodesic
Geometry of irreducible plane quartics and their quadratic residue conics
Journal of Singularities, Tome 2 (2010), pp. 170-190

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Let D be an irreducible plane curve in P^2. In this article, we first introduce a notion of a quadratic residue curve mod D, 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
Classification : 
@article{10_5427_jsing_2010_2k,
     author = {Hiro-o TOKUNAGA},
     title = {Geometry of irreducible plane quartics and their quadratic residue conics},
     journal = {Journal of Singularities},
     pages = {170--190},
     publisher = {mathdoc},
     volume = {2},
     year = {2010},
     doi = {10.5427/jsing.2010.2k},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.2k/}
}
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AU  - Hiro-o TOKUNAGA
TI  - Geometry of irreducible plane quartics and their quadratic residue conics
JO  - Journal of Singularities
PY  - 2010
SP  - 170
EP  - 190
VL  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.2k/
DO  - 10.5427/jsing.2010.2k
ID  - 10_5427_jsing_2010_2k
ER  - 
%0 Journal Article
%A Hiro-o TOKUNAGA
%T Geometry of irreducible plane quartics and their quadratic residue conics
%J Journal of Singularities
%D 2010
%P 170-190
%V 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.2k/
%R 10.5427/jsing.2010.2k
%F 10_5427_jsing_2010_2k
Hiro-o TOKUNAGA. Geometry of irreducible plane quartics and their quadratic residue conics. Journal of Singularities, Tome 2 (2010), pp. 170-190. doi: 10.5427/jsing.2010.2k

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