Zbigniew Jelonek

activity

20142024

most citedThe Thom Conjecture for proper polynomial mappings

1 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2024

On metric equivalence of the Brieskorn-Pham hypersurfaces

Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio

We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$ . Moreover we show that if two algebraic $(n - 1)$ -dimensional cones $P, R\su…

math.AG2023★ 1 cited

Bi-Lipschitz characterization of space curves

Alexandre Fernandes, Zbigniew Jelonek

In the paper \cite{renato} Renato Targino shows that bi-Lipschitz type of plane curve is determined by the local ambient topological properties of curves. Here we show that it is n…

math.CV2023

Note on Milnor numbers of irreducible germs

Zbigniew Jelonek

Let $(V, 0) \subset (C^{n}, 0)$ be a germ of a complex hypersurface and let $f : (C^{n}, 0) \to (C^{n}, 0)$ be a germ of a finite holomorphic mapping. If germs $…

math.AG2014★ 1 cited

The Thom Conjecture for proper polynomial mappings

Zbigniew Jelonek

Let $f, g : X \to Y$ be continuous mappings. We say that $f$ is topologically equivalent to $g$ if there exist homeomorphisms $Φ : X \to X$ and $Ψ : Y \to Y$ such that $Ψ\circ f\circ Φ=g.…

math.AG2014

On the group of automorphisms of a quasi-affine variety

Zbigniew Jelonek

Let K be an algebraically closed field of characteristic zero. We show that if the automorphisms group of a quasi-affine variety X is infinite, then X is uniruled.