Grzegorz Oleksik

activity

20112021

collaborators

4 papers

math.AG2021

The Łojasiewicz exponent in non-degenerate deformations of surface singularities

Szymon Brzostowski, Tadeusz Krasiński, Grzegorz Oleksik

We prove the constancy of the Łojasiewicz exponent in non-degenerate $μ$ -constant deformations of surface singularities. This is a positive answer to a question posed by B. Teissie…

math.AG2020

The Łojasiewicz exponent of non-degenerate surface singularities

S. Brzostowski, T. Krasiński, G. Oleksik

Let $f$ be an isolated singularity at the origin of $C^{n}$ . One of many invariants that can be associated with $f$ is its Łojasiewicz exponent $L_{0} (f)$ , which me…

math.AG2018

Lê numbers and Newton diagram

Christophe Eyral, Grzegorz Oleksik, Adam Różycki

We give an algorithm to compute the Lê numbers of (the germ of) a Newton non-degenerate complex analytic function $f : (C^{n}, 0) \to (C, 0)$ in terms of c…

math.CV2011

The Łojasiewicz exponent of nondegenerate surface singularities

Grzegorz Oleksik

In the article we give some estimations of the Łojasiewicz exponent of nondegenerate surface singularities in terms of their Newton diagrams. We also give an exact formula for the…