























Abstract:Let $(X,0)$ be a germ of a reduced and irreducible complex surface embedded in $(\mathbb{C}^k,0)$. In this paper, we give a complete invariant of the inner Lipschitz geometry of complex surface germs, extending the result of Birbrair--Neumann--Pichon \cite{BNP} to the non-isolated case. This invariant is expressed in terms of numerical invariants associated with the coordinate functions $f_1,\dots,f_k$ of the normalization map $n:(\overline{X},0)\to (X,0)\subset(\mathbb{C}^k,0)$, together with the combinatorics of a suitable good resolution of $(\overline{X},0)$.
From: Yenni Cherik [view email]
[v1]
Sun, 14 Jun 2026 17:46:50 UTC (73 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。