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

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

28 Sep 2024arXiv:2409.19253links table onlyarchive 2025-07-28

Niels Lubbes

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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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