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math.AG2022
Bi-Lipschitz invariance of the multiplicity
Alexandre Fernandes, José Edson Sampaio
The multiplicity of an algebraic curve in the complex plane at a point on that curve is defined as the number of points that occur at the intersection of with a general…
math.DG2022★ 1 cited
Global bi-Lipschitz classification of semi-algebraic surfaces
Alexandre Fernandes, José Edson Sampaio
We classify semi-algebraic surfaces in with isolated singularities up to bi-Lipschitz homeomorphisms with respect to the inner distance. In particular, we obtain com…
math.CV2022
On Lipschitz Geometry at infinity of complex analytic sets
José Edson Sampaio
In this article, we study the Lipschitz Geometry at infinity of complex analytic sets and we obtain results on algebraicity of analytic sets and on Bernstein's problem. Moser's Ber…