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arxiv: 1903.04098 · v1 · pith:KIKXLPGKnew · submitted 2019-03-11 · 🧮 math.AG

Zariski N-ples for a smooth cubic and its tangent lines

classification 🧮 math.AG
keywords curvesconsistingcubiclinessmoothtangentzariskidistinguish
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In this paper, we study the geometry of two-torsion points of elliptic curves in order to distinguish the embedded topology of reducible plane curves consisting of a smooth cubic and its tangent lines. As a result, we obtain a new family of Zariski N-ples consisting of such curves.

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