English

Blow-$ADE$ singularities and $\mu^*$-constant deformations

Algebraic Geometry 2024-02-01 v1

Abstract

We introduce a class of complex surface singularities - the blow-ADEADE singularities - which are likely to be stable with respect to μ\mu^*-constant deformations. We prove such a stability property in several special cases. Here, we emphasize that we are not just considering deformation families for small values of the deformation parameter but families connecting any two elements in the μ\mu^*-constant stratum.

Keywords

Cite

@article{arxiv.2401.17850,
  title  = {Blow-$ADE$ singularities and $\mu^*$-constant deformations},
  author = {Christophe Eyral and Mutsuo Oka},
  journal= {arXiv preprint arXiv:2401.17850},
  year   = {2024}
}
R2 v1 2026-06-28T14:33:05.482Z