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arXiv · 2512.23293

Curvature criteria of A-simple singularities R,0-> R^2,0 and their parallel curves

Toshizumi Fukui·Saiki Hoshino
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Abstract

We introduce the notion of curvature parameters for singular plane curves with finite multiplicities and define the notion of curvatures for them. We then provide criteria to determine their singularity types for A-simple singularities. As an application, we investigate singularity types of their parallel curves.

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Toshizumi Fukui, Saiki Hoshino. 2025-12-29. Curvature criteria of A-simple singularities R,0-> R^2,0 and their parallel curves. https://arxiv.org/abs/2512.23293

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