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

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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Publication Details

Journal
Journal of Symbolic Computation
Published
2024-09-27
DOI
https://doi.org/10.1016/j.jsc.2024.102390
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Niels Lubbes
Journal of Symbolic Computation
Advanced Numerical Analysis Techniques
article

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

Niels Lubbes
article en

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.

Journal of Symbolic ComputationVol. 128
Austrian Science Fund
Openalex Percentile: Top 82%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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Self-intersections of surfaces that contain two circles through each point — Niels Lubbes · Journal of Symbolic Computation (2024) | TGRS Research Map | TGRS