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 Bernstein …

A path-connected subanalytic subset in is naturally equipped with two metrics: the inner and
the outer metrics. We say that a subset is Lipschitz normally embedded (LNE) if these two …

We show that for every $ k\ge 3$ there exist complex algebraic cones of dimension $ k $
with isolated singularities, which are bi-Lipschitz and semi-algebraically equivalent but they …

This paper is devoted to studying the Lipschitz geometry of real analytic sets. We prove that
the relative multiplicities are bi-Lipschitz invariant, Lipschitz regular analytic curves are C 1 …

In this article, we prove that for a definable set in an o-minimal structure with connected link
(at 0 or infinity), the inner distance of the link is equivalent to the inner distance of the set …

This article is devoted to studying complex algebraic sets under (global) blow-spherical
equivalence. This equivalence lives strictly between semialgebraic bi-Lipschitz equivalence …

In this article, we prove that for a definable set in an o‐minimal structure with connected link
(at 0 or infinity), the inner distance of the link is equivalent to the inner distance of the set …

In this note, we present some results on the Mattei's conjecture, which asserts that the
algebraic multiplicity of one-dimensional holomorphic foliations is a topological invariant …

Classification of real algebraic curves under blow-spherical homeomorphisms at infinity | São
Paulo Journal of Mathematical Sciences Skip to main content SpringerLink Account Menu Find a …

In this paper, we address one of the most basic and fundamental problems in the theory of
foliations and ODEs, the topological invariance of the algebraic multiplicity of a holomorphic …