Hokkaido Mathematical Journal

Projection of generic 1 and 2-parameter families of space curves

Fabio Scalco DIAS

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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.

Article information

Hokkaido Math. J., Volume 44, Number 2 (2015), 221-250.

First available in Project Euclid: 1 August 2016

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53A04: Curves in Euclidean space 58K60: Deformation of singularities 14H50: Plane and space curves

projection of space curves plane curve singularities Morsification


DIAS, Fabio Scalco. Projection of generic 1 and 2-parameter families of space curves. Hokkaido Math. J. 44 (2015), no. 2, 221--250. doi:10.14492/hokmj/1470053292. https://projecteuclid.org/euclid.hokmj/1470053292

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