Zbigniew Jelonek

collaborators

4 papers

math.NT2026

On Buzzard's Theoren

Zbigniew Jelonek, Gustavo Menani, Maria Michalska

Over any infinite field we prove existence of polynomial automorphism with prescribed differentials at points. More precisely, let $\K$ be an infinite field and $a_{1}, \dots, a_{k};$ …

math.AC2026

On mappings with Jacobian one

Zbigniew Jelonek

We show that the set $A (n, d)$ of polynomial automorphisms $F : C^{n} \to C^{n}$ of degree at most $d$ and with $J a c (F) = 1$ is Zariski closed. In particular every irreducib…

math.AG2026

Lipschitz embeddings of algebraic curves

Zbigniew Jelonek, Gustavo Menani, Maria Michalska

We show that inner Lipschitz classification of real algebraic curves is equivalent to outer Lipschitz classification in $R^{3}$ of real algebraic curves with LNE connected c…

math.CV2025

Proof of the metric Arnold's corank problem

In this article, we approach the Arnold corank problem, posed by Arnold in 1975, which asks whether the corank of holomorphic functions is an ambient topological invariant. Here, w…