17 citations · 44 across the 18 of their papers we have counts for
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On Zariski's multiplicity problem at infinity
J. Edson Sampaio
We address a metric version of Zariski's multiplicity conjecture at infinity that says that two complex algebraic affine sets which are bi-Lipschitz homeomorphic at infinity must h…
Multiplicity and degree as bi-Lipschitz invariants for complex sets
Javier Fernández de Bobadilla, Alexandre Fernandes, J. Edson Sampaio
We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz transformations (outer bi-Lipschitz homeomorphims of germs…
On Lipschitz rigidity of complex analytic sets
Alexandre Fernandes, J. Edson Sampaio
We prove that any complex analytic set in which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of $\mathbb{C}^…
Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann
Alexandre Fernandes, J. Edson Sampaio
We prove that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we s…
Hölder equivalence of complex analytic curve singularities
Alexandre Fernandes, J. Edson Sampaio, Joserlan P. Silva
We prove that if two germs of irreducible complex analytic curves at have different sequence of characteristic exponents, then there exists such that tho…
Multiplicity, regularity and blow-spherical equivalence of complex analytic sets
J. Edson Sampaio
This paper is devoted to study multiplicity and regularity as well as to present some classifications of complex analytic sets. We present an equivalence for complex analytical set…