Recognition of plane-to-plane map-germs

2015/03/30 by Kabata, Yutaro
#53A05 #53A15 #57R45 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1503.08544

Abstract

We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension <7, which provides a new insight into the A-classification theory from the viewpoint of recognition problem. As an application to generic differential geometry, we discuss about projections of smooth surfaces in 3-space.

Related

• Topological equivalence of finitely determined real analytic plane-to-plane map-germs
• Geometric equivalence among smooth map germs
• Bifurcation of plane-to-plane map-germs with corank two of parabolic type
• The Analytic Classification of Plane Curves
• Equisingularity of families of map germs from the plane to 3-space