Projective classification of jets of surfaces in 3-space

2015/04/24 by Hiroaki Sano, Yutaro Kabata, Sano, Hiroaki +5
Mathematics · #32S15 #34A09 #53A20 #58K05 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1504.06499

openalex publication_date 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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