We describe a natural decomposition of a normal complex surface singularity (X, 0) into its
“thick” and “thin” parts. The former is essentially metrically conical, while the latter shrinks …

Two subset germs of Euclidean spaces are called blow-spherically equivalent if their
spherical modifications are homeomorphic and the homeomorphism induces …

The aim of this paper to introduce the reader to a recent point of view on the Lipschitz
classifications of complex singularities. It presents the complete classification of Lipschitz …

We introduce the notion of bi-Lipschitz equivalence of ideals and derive numerical invariants
for such equivalence. In particular, we show that the log canonical threshold of ideals is a bi …

The paper studies the Lipschitz geometry of germs of complex algebraic varieties and
introduces the notion of a choking horn. A choking horn is a family of cycles on an algebraic …

We proof here the existence of a topological thick and thin decomposition of any closed
definable thick isolated singularity germ in the spirit of the recently discovered metric thick …

In this paper we present some applications of A'Campo-L\^ e's Theorem and we study some
relations between Zariski's Questions A and B. It is presented some classes of …

Let f:(Cn, 0)→(C, 0) be an analytic function germ. Under the hypothesis that f is Newton non-
degenerate, we compute the μ⁎-sequence of f in terms of the Newton polyhedron of f. This …

We provide bi-Lipschitz invariants for finitely determined map germs $ f:(\mathbb {K}^ n, 0)\to
(\mathbb {K}^ p, 0) $, where $\mathbb {K}=\mathbb {R} $ or $\mathbb {C} $. The aim of the …

Exceptional rays and bilipschitz geometry of real surface singularities - ScienceDirect Skip
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