Self-intersections of surfaces that contain two circles through each point
arXiv:2409.19253 · doi:10.1016/j.jsc.2024.102390
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.