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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON VERTICES AND INFLECTIONS OF PLANE CURVES

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Author(s):
Dias, Fabio Scalco [1] ; Tari, Farid [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Itajuba, Inst Matemat & Comp, Ave BPS 1303, BR-37500903 Itajuba, MG - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF SINGULARITIES; v. 17, p. 70-80, JAN-DEC 2018.
Web of Science Citations: 0
Abstract

We count the number of inflections (I) and vertices (V) concentrated at the singularity of a germ of a parametrised plane curve and show that V = I + mu - 2, where mu is the Milnor number of a certain singularity. (AU)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants