Geodesic
Zariski multiples associated with quartic curves
Journal of Singularities, Tome 24 (2022), pp. 169-189

Voir la notice de l'article provenant de la source Journal of Singularities website

We investigate reducible plane curves whose irreducible components are a general smooth quartic curve, some of its bitangents, and some of its 4-tangent conics. We show that the deformation types of plane curves of this type coincide with the homeomorphism types. The number of deformation types grows as the 62nd power of the degree of the plane curves when the degree tends to infinity. Thus we obtain Zariski multiples of large sizes.
DOI : 10.5427/jsing.2022.24g
Classification : 14H50, 14J26 
@article{10_5427_jsing_2022_24g,
     author = {Ichiro Shimada},
     title = {Zariski multiples associated with quartic curves},
     journal = {Journal of Singularities},
     pages = {169--189},
     publisher = {mathdoc},
     volume = {24},
     year = {2022},
     doi = {10.5427/jsing.2022.24g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.24g/}
}
TY  - JOUR
AU  - Ichiro Shimada
TI  - Zariski multiples associated with quartic curves
JO  - Journal of Singularities
PY  - 2022
SP  - 169
EP  - 189
VL  - 24
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.24g/
DO  - 10.5427/jsing.2022.24g
ID  - 10_5427_jsing_2022_24g
ER  - 
%0 Journal Article
%A Ichiro Shimada
%T Zariski multiples associated with quartic curves
%J Journal of Singularities
%D 2022
%P 169-189
%V 24
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.24g/
%R 10.5427/jsing.2022.24g
%F 10_5427_jsing_2022_24g
Ichiro Shimada. Zariski multiples associated with quartic curves. Journal of Singularities, Tome 24 (2022), pp. 169-189. doi: 10.5427/jsing.2022.24g

Cité par Sources :