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arxiv: 1503.08544 · v1 · pith:SEFFI5I2new · submitted 2015-03-30 · 🧮 math.DG · math.GT

Recognition of plane-to-plane map-germs

classification 🧮 math.DG math.GT
keywords map-germsplane-to-planerecognitiona-classificationa-codimensiona-typesapplicationcomplete
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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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