M. Ishikawa

collaborators

3 papers

math.GT2026

Topology of the links of cDV singularities of types $c A_{n}$ for $n > 0$ and $c D_{n}$ for $n > 4$

Masaharu Ishikawa, Atsuko Katanaga

We show that the second integral homology group of the link of an isolated compound Du Val (cDV, for short) singularity of type $c A_{n}$ is either trivial or a torsion-free abelian g…

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…

Topology of the links of cDV singularities of types cAn​ for n>0 and cDn​ for n>4

New I^¼-Zariski pairs of surface singularities

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

Topology of the links of cDV singularities of types $c A_{n}$ for $n > 0$ and $c D_{n}$ for $n > 4$

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

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