Zariski tuples for a smooth cubic and its tangent lines

Autor:	Hiro-o Tokunaga, Shinzo Bannai
Rok vydání:	2020
Předmět:	14H52 Pure mathematics Plane curve General Mathematics Order (ring theory) splitting numbers 14E20 Zariski pairs Elliptic curve Tangent lines to circles Elliptic curves torsion points Tuple Topology (chemistry) Mathematics
Zdroj:	Proc. Japan Acad. Ser. A Math. Sci. 96, no. 2 (2020), 18-21
ISSN:	0386-2194
DOI:	10.3792/pjaa.96.004
Popis:	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 tuples consisting of such curves.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d5f4aeb85ebde7817c766047aa341ef https://doi.org/10.3792/pjaa.96.004 Zobrazit plný text záznamu