The λ-Point Map between Two Legendre Plane Curves

Autor:	Azeb Alghanemi, Abeer AlGhawazi
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Legendre curve singularity cusp fold swallowtail slips Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 4, p 997 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11040997
Popis:	The λ-point map between two Legendre plane curves, which is a map from the plane into the plane, is introduced. The singularity of this map is studied through this paper and many known plane map singularities are realized as special cases of this construction. Precisely, the corank one and corank two singularities of the λ-point map between two Legendre plane curves are investigated and the geometric conditions for this map to have corank one singularities, such as fold, cusp, swallowtail, lips, and beaks are obtained. Additionally, the geometric conditions for the λ-point map to have a sharksfin singularity, which is a corank two singularity, are obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/08c6c62203f2429b8acb948da808bcad Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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