8 citations · 20 across the 5 of their papers we have counts for
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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…
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…