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arXiv · 2409.19253

Self-intersections of surfaces that contain two circles through each point

Niels Lubbes
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Abstract

We classify the singular loci of real surfaces in three-space that contain two circles through each point. We characterize how a circle in such a surface meets this loci as it moves in its pencil and as such provide insight into the topology of the surface.

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Niels Lubbes. 2024-09-28. Self-intersections of surfaces that contain two circles through each point. https://doi.org/10.1016/j.jsc.2024.102390

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