Self-intersections of surfaces that contain two circles through each point
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910624186892288 |
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| author | Lubbes, Niels |
| author_facet | Lubbes, Niels |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19253 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-intersections of surfaces that contain two circles through each point Lubbes, Niels Algebraic Geometry Metric Geometry 51B10, 51M15, 14J17, 14P25, 14C20 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. |
| title | Self-intersections of surfaces that contain two circles through each point |
| topic | Algebraic Geometry Metric Geometry 51B10, 51M15, 14J17, 14P25, 14C20 |
| url | https://arxiv.org/abs/2409.19253 |