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