PROJECTIONS OF SPACE CURVES AND DUALITY

Autor(es)

Oset Sinha, Raul ^[1] ; Tari, Farid ^[2]

Afiliação do(s) autor(es)

^[1] Fac Matemat, Dept Geometria & Topol, Valencia 46100 - Spain

^[2] Univ Durham, Sci Labs, Dept Math Sci, Durham DH1 3LE - England

• Tipo de documento: Artigo Científico
• Fonte: QUARTERLY JOURNAL OF MATHEMATICS; v. 64, n. 1, p. 281-302, MAR 2013.
• Citações Web of Science: 5

Resumo

We study the flat geometry of orthogonal projections of a generic space curve to planes. For a single projection, we do this by considering submersions on a (singular) plane curve. This is an alternative method to the classification of divergent diagrams carried out in Dias and Nuno Ballesteros {[}Plane curve diagrams and geometrical applications, Q. J. Math. 59 (2008), 287-310]. We redraw the bifurcation diagrams of the orthogonal projections of space curves adding the information about their flat geometry. We also study the duals of the projected curves and the way they bifurcate as the direction of projection varies locally in S-2. (AU)

• Processo FAPESP: 10/01501-5 - Invariantes topológicos de aplicações estáveis.
• Beneficiário: Raúl Adrián Oset Sinha
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado