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arXiv · 2404.06922

On metric equivalence of the Brieskorn-Pham hypersurfaces

Alexandre Fernandes·Zbigniew Jelonek·José Edson Sampaio
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Abstract

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.

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Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio. 2024-04-10. On metric equivalence of the Brieskorn-Pham hypersurfaces. https://arxiv.org/abs/2404.06922

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