English

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

Algebraic Geometry 2024-10-01 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.2409.19253,
  title  = {Self-intersections of surfaces that contain two circles through each point},
  author = {Niels Lubbes},
  journal= {arXiv preprint arXiv:2409.19253},
  year   = {2024}
}
R2 v1 2026-06-28T19:00:22.531Z