bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912257655439360 |
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| author | Câmara, Leonardo Fernandes, Alexandre |
| author_facet | Câmara, Leonardo Fernandes, Alexandre |
| contents | In this paper we address the problem of classifying complex (non-homogeneous) quasihomogeneous polynomials in two variables under bi-Lipschitz equivalence. We prove that pairs of such polynomials are (right) bi-Lipschitz equivalent as function-germs at $0\in\mathbb{C}^{2}$ iff they are analytically equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs Câmara, Leonardo Fernandes, Alexandre Complex Variables Algebraic Geometry (primary) 32S15, 32S05, (secondary) 14B05 In this paper we address the problem of classifying complex (non-homogeneous) quasihomogeneous polynomials in two variables under bi-Lipschitz equivalence. We prove that pairs of such polynomials are (right) bi-Lipschitz equivalent as function-germs at $0\in\mathbb{C}^{2}$ iff they are analytically equivalent. |
| title | bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs |
| topic | Complex Variables Algebraic Geometry (primary) 32S15, 32S05, (secondary) 14B05 |
| url | https://arxiv.org/abs/2503.02085 |