| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Fac Matemat, Dept Geometria & Topol, Valencia 46100 - Spain
[2] Univ Durham, Sci Labs, Dept Math Sci, Durham DH1 3LE - England
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | QUARTERLY JOURNAL OF MATHEMATICS; v. 64, n. 1, p. 281-302, MAR 2013. |
| Web of Science Citations: | 5 |
| Abstract | |
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) | |
| FAPESP's process: | 10/01501-5 - Topological invariants of stable maps. |
| Grantee: | Raúl Adrián Oset Sinha |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |