43 citations · 140 across the 20 of their papers we have counts for
21 papers
Topological and bilipschitz types of complex surface singularities and their links
Lorenzo Fantini, Anne Pichon
In this paper, we prove that two normal complex surface germs that are inner bilipschitz--but not necessarily orientation-preserving--homeomorphic, have in fact the same oriented t…
On Lipschitz Normally Embedded singularities
Lorenzo Fantini, Anne Pichon
Any subanalytic germ is equipped with two natural metrics: its outer metric, induced by the standard Euclidean metric of the ambient space, and its…
Polar exploration of complex surface germs
André Belotto da Silva, Lorenzo Fantini, András Némethi +1
We prove that the topological type of a normal surface singularity provides finite bounds for the multiplicity and polar multiplicity of , as well as for the combina…
An introduction to Lipschitz geometry of complex singularities
Anne Pichon
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 Lipsch…
On Lipschitz Normally Embedded complex surface germs
André Belotto da Silva, Lorenzo Fantini, Anne Pichon
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prove in particular that the topological type of such a germ determines the combinat…
Inner geometry of complex surfaces: a valuative approach
André Belotto da Silva, Lorenzo Fantini, Anne Pichon
Given a complex analytic germ in , the standard Hermitian metric of induces a natural arc-length metric on , called the inner metri…