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ID 113919
Author
Keywords
plane curve
splitting curve
Zariski pair
cyclic cover
splitting number
Content Type
Journal Article
Description
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 ≥ 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.
Journal Title
Canadian Mathematical Bulletin
ISSN
00084395
14964287
NCID
AA00597973
Publisher
Canadian Mathematical Society
Volume
61
Issue
3
Start Page
650
End Page
658
Published Date
2017-12-02
Rights
© Canadian Mathematical Society 2017
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Science and Technology