Open Access
June 2015 Projection of generic 1 and 2-parameter families of space curves
Fabio Scalco DIAS
Hokkaido Math. J. 44(2): 221-250 (June 2015). DOI: 10.14492/hokmj/1470053292

Abstract

The present paper deals with the study of the geometrical properties of generic 1 and 2-parameter families of space curves by using projections into planes. It presents directions of projection and conditions on the coefficients of these families such that the projection exhibits Morsifications of the A4, A6 and E6 singularities and transitions between the Morsifications of the E8 singularity.

Citation

Download Citation

Fabio Scalco DIAS. "Projection of generic 1 and 2-parameter families of space curves." Hokkaido Math. J. 44 (2) 221 - 250, June 2015. https://doi.org/10.14492/hokmj/1470053292

Information

Published: June 2015
First available in Project Euclid: 1 August 2016

zbMATH: 1336.53003
MathSciNet: MR3532108
Digital Object Identifier: 10.14492/hokmj/1470053292

Subjects:
Primary: 14H50 , 53A04 , 58K60

Keywords: Morsification , plane curve singularities , projection of space curves

Rights: Copyright © 2015 Hokkaido University, Department of Mathematics

Vol.44 • No. 2 • June 2015
Back to Top