On Teissier's example of an equisingularity class that cannot be defined over the rationals
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911415001939968 |
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| author | Parusiński, Adam Paunescu, Laurentiu |
| author_facet | Parusiński, Adam Paunescu, Laurentiu |
| contents | A result of Teissier says that the cone over one of classical polygon examples in the real projective space gives, by complexification, a surface singularity which is not Whitney equisingular to a singularity defined over the field of rational numbers Q. In this note we correct the example and give a complete proof of Tesissier's result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10863 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Teissier's example of an equisingularity class that cannot be defined over the rationals Parusiński, Adam Paunescu, Laurentiu Algebraic Geometry 32S25, 32S15, 14B05 A result of Teissier says that the cone over one of classical polygon examples in the real projective space gives, by complexification, a surface singularity which is not Whitney equisingular to a singularity defined over the field of rational numbers Q. In this note we correct the example and give a complete proof of Tesissier's result. |
| title | On Teissier's example of an equisingularity class that cannot be defined over the rationals |
| topic | Algebraic Geometry 32S25, 32S15, 14B05 |
| url | https://arxiv.org/abs/2501.10863 |