An explicit construction for \(n\)-contact curves to a smooth cubic via divisions of polynomials and Zariski tuples

DOI10.14492/hokmj/2020-391zbMath1504.14044arXiv2008.13467OpenAlexW4312796897MaRDI QIDQ2105254

Ai Takahashi, Hiro-O Tokunaga

Publication date: 8 December 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13467

zbMATH Keywords

elliptic curves\(n\)-contact curverepresentation of divisorsZariski tuple

Mathematics Subject Classification ID

Plane and space curves (14H50) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05) Topological properties in algebraic geometry (14F45)

Cites Work

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• Ideals, Varieties, and Algorithms
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• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato

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