activity
20022026
most citedAlexander-equivalent Zariski pairs of irreducible sextics

4 citations · 11 across the 16 of their papers we have counts for

collaborators

20 papers

math.AG2026

New -Zariski pairs of surface singularities

Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka +1

To the best of the authors' knowledge, all previously known examples of -, -, link-, or ordinary Zariski pairs of surface singularities in consist of (possib…

math.AG2025

Newton weighted-Lê-Yomdin polynomials and -Zariski pairs of surface singularities

Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka

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

math.AG2025

Bekka's -regularity condition and families of line singularities with constant Lê numbers

Christophe Eyral, Öznur Turhan

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

math.AG2024

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

Christophe Eyral, Mutsuo Oka

Let be a (possibly Newton degenerate) weighted homogeneous polynomial defining an isolated surface singularity at the origin of , and let be a generic d…

math.AG2024

Blow- singularities and -constant deformations

Christophe Eyral, Mutsuo Oka

We introduce a class of complex surface singularities - the blow- singularities - which are likely to be stable with respect to -constant deformations. We prove such a st…

math.AG2022

Zeta-function and -Zariski pairs of surfaces

Christophe Eyral, Mutsuo Oka

A Zariski pair of surfaces is a pair of complex polynomial functions in which is obtained from a classical Zariski pair of projective curves and…