Bi-Lipschitz geometry of complex surface singularities
Lev Birbrair, Alexandre Fernandes, Walter D. Neumann

TL;DR
This paper explores the bi-Lipschitz geometry of isolated complex surface singularities, focusing on conditions under which these singularities exhibit a metrically conical structure.
Contribution
It provides new insights into the conditions that determine when complex surface singularities are metrically conical within their bi-Lipschitz geometry.
Findings
Characterization of when singularities are metrically conical
Analysis of bi-Lipschitz invariants for surface singularities
Conditions influencing the metric conicalness of singular points
Abstract
We discuss the bi-Lipschitz geometry of an isolated singular point of a complex surface which particular emphasis on when it is metrically conical.
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