Geodesic
Connected Numbers and the Embedded Topology of Plane Curves
Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 650-658

Voir la notice de l'article provenant de la source Cambridge

DOI

The splitting number of a plane irreducible curve for a Galois cover is effective in distinguishing the embedded topology of plane curves. In this paper, we define the connected number of a plane curve (possibly reducible) for a Galois cover, which is similar to the splitting number. By using the connected number, we distinguish the embedded topology of Artal arrangements of degree $b\,\ge \,4$ , where an Artal arrangement of degree $b$ is a plane curve consisting of one smooth curve of degree $b$ and three of its total inflectional tangents.
DOI : 10.4153/CMB-2017-066-5
Mots-clés : 14H30, 14H50, 14F45, plane curve, splitting curve, Zariski pair, cyclic cover, splitting number 
Shirane, Taketo. Connected Numbers and the Embedded Topology of Plane Curves. Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 650-658. doi: 10.4153/CMB-2017-066-5
@article{10_4153_CMB_2017_066_5,
     author = {Shirane, Taketo},
     title = {Connected {Numbers} and the {Embedded} {Topology} of {Plane} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {650--658},
     year = {2018},
     volume = {61},
     number = {3},
     doi = {10.4153/CMB-2017-066-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-066-5/}
}
TY  - JOUR
AU  - Shirane, Taketo
TI  - Connected Numbers and the Embedded Topology of Plane Curves
JO  - Canadian mathematical bulletin
PY  - 2018
SP  - 650
EP  - 658
VL  - 61
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-066-5/
DO  - 10.4153/CMB-2017-066-5
ID  - 10_4153_CMB_2017_066_5
ER  - 
%0 Journal Article
%A Shirane, Taketo
%T Connected Numbers and the Embedded Topology of Plane Curves
%J Canadian mathematical bulletin
%D 2018
%P 650-658
%V 61
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-066-5/
%R 10.4153/CMB-2017-066-5
%F 10_4153_CMB_2017_066_5

Cité par Sources :