FLAT AND ROUND SINGULARITY THEORY OF PLANE CURVES

Texto completo
Autor(es):	Salarinoghabi, Mostafa ^[1] ; Tari, Farid ^[1] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense, 400 Ctr, BR-13566590 Sao Carlos, SP - Brazil Número total de Afiliações: 1
Tipo de documento:	Artigo Científico
Fonte:	QUARTERLY JOURNAL OF MATHEMATICS; v. 68, n. 4, p. 1289-1312, DEC 2017.
Citações Web of Science:	2
Resumo
We propose in this paper a way to study deformations of plane curves that take into consideration the geometry of the curves as well as their singularities. We deal in details with local phenomena that occur generically in two-parameter families of curves. We obtain information on the inflections and vertices appearing on the deformed curves. We also obtain the configurations of the evolutes of the curves and of their deformations. (AU)

Processo FAPESP:	14/00304-2 - Singularidades de aplicações diferenciáveis: teoria e aplicações
Beneficiário:	Maria Aparecida Soares Ruas
Modalidade de apoio:	Auxílio à Pesquisa - Temático