Connected Numbers and the Embedded Topology of Plane Curves
2018 ◽
Vol 61
(3)
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pp. 650-658
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AbstractThe 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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1983 ◽
Vol 24
(2)
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pp. 195-206
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2005 ◽
Vol 92
(1)
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pp. 99-138
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2016 ◽
Vol 163
(1)
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pp. 161-172
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2004 ◽
Vol 89
(516)
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pp. 424-436
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1989 ◽
Vol 41
(2)
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pp. 193-212
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2011 ◽
Vol 20
(06)
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pp. 787-805
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