C. Eyral

activity

20242026

collaborators

4 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

Bekka's $(c)$ -regularity condition and families of line singularities with constant LÃª numbers

Christophe Eyral, Ãznur Turhan

We show that the natural stratifications arising from certain deformation families of line singularities with constant LÃª numbers satisfy Bekka's $(c)$ -regularity condition. As a…

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

Bekka's (c)-regularity condition and families of line singularities with constant LÃª numbers

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

Bekka's $(c)$ -regularity condition and families of line singularities with constant LÃª numbers

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