M. Oka

activity

20242026

collaborators

3 papers

math.AG2026

New $I^¼$ -Zariski pairs of surface singularities

Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka +1

To the best of the authors' knowledge, all previously known examples of $I^¼$ -, $I^¼^{*}$ -, link-, or ordinary Zariski pairs of surface singularities in $C^{3}$ consist of (poss…

math.AG2025

Newton weighted-LÃª-Yomdin polynomials and $I^¼$ -Zariski pairs of surface singularities

Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka

We investigate surface singularities defined by weighted-LÃª-Yomdin polynomials, with a particular focus on a specific subclass that we refer to as Newton weighted-LÃª-Yomdin polyn…

math.AG2024

On Milnor-Orlik's theorem and admissible simultaneous good resolutions

Christophe Eyral, Mutsuo Oka

Let $f$ be a (possibly Newton degenerate) weighted homogeneous polynomial defining an isolated surface singularity at the origin of $C^{3}$ , and let ${f_{s}}$ be a generic d…

New I^¼-Zariski pairs of surface singularities

Newton weighted-LÃª-Yomdin polynomials and I^¼-Zariski pairs of surface singularities

On Milnor-Orlik's theorem and admissible simultaneous good resolutions

New $I^¼$ -Zariski pairs of surface singularities

Newton weighted-LÃª-Yomdin polynomials and $I^¼$ -Zariski pairs of surface singularities