An explicit construction for n-contact curves to a smooth cubic via divisions and Zariski tuples

2020/08/31 by Ai Takahashi, Takahashi, Ai, Hiro‐o Tokunaga +1 · 1 citation
Mathematics · Engineering · #Algebraic Geometry and Number Theory #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2008.13467

Abstract

Let E be a smooth cubic. A plane curve D is said to be an n-contact curve to E if the intersection multiplicities at each intersection point between E and D is n. In this note, we give an algorithm to produce n-contact curves to E and consider its application.

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