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arXiv · 1404.5678

Lipschitz regular complex algebraic sets are smooth

Lev Birbrair·Alexandre Fernandes·Edson Sampaio·Lê D. Trang
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Abstract

The classical Theorem of Mumford states that a topologically regular complex algebraic surface in $\mathbb{C}^3$ with an isolated singular point is smooth. We proof that any Lipschitz regular complex algebraic set is smooth. No restriction on the dimension is needed. No restriction of singularity to be isolated is needed.

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Lev Birbrair, Alexandre Fernandes, Edson Sampaio, Lê D. Trang. 2014-05-07. Lipschitz regular complex algebraic sets are smooth. https://arxiv.org/abs/1404.5678

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