Projective classification of jets of surfaces in 3-space

Abstract

We present a local classification of smooth projective surfaces in 3-space via projective transformations in accordance with singularity types of central projections up to codimension 4. We also discuss relations between our classification of Monge forms and bifurcations of parabolic curves and flecnodal curves.

21 pages, 1 figure. Some typos were corrected, and subsection 4.3 was added

Cited by in corpus (2)

• Projective classification of jets of surfaces in ${\mathbb{P}}^4$
• Thom polynomials in $\mathcal{A}$-classification I: counting singular projections of a surface