On metric equivalence of the Brieskorn-Pham hypersurfaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911834524614656 |
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| author | Fernandes, Alexandre Jelonek, Zbigniew Sampaio, José Edson |
| author_facet | Fernandes, Alexandre Jelonek, Zbigniew Sampaio, José Edson |
| contents | We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\subset\mathbb C^n$ with isolated singularities are homeomorphic, then they have the same degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On metric equivalence of the Brieskorn-Pham hypersurfaces Fernandes, Alexandre Jelonek, Zbigniew Sampaio, José Edson Algebraic Geometry Complex Variables 14B05, 32S50, 58K30 (Primary) 58K20 (Secondary) We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\subset\mathbb C^n$ with isolated singularities are homeomorphic, then they have the same degree. |
| title | On metric equivalence of the Brieskorn-Pham hypersurfaces |
| topic | Algebraic Geometry Complex Variables 14B05, 32S50, 58K30 (Primary) 58K20 (Secondary) |
| url | https://arxiv.org/abs/2404.06922 |