TL;DR
This paper develops a comprehensive set of criteria for classifying plane-to-plane map-germs of corank one with low A-codimension, offering new insights into A-classification and applications in differential geometry.
Contribution
It introduces a complete recognition criterion for A-types of plane-to-plane map-germs of corank one with A-codimension less than 7, advancing classification methods.
Findings
Provides a complete set of criteria for A-type recognition
Offers new insights into A-classification theory
Applies results to projections of smooth surfaces in 3-space
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.
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