English

A note on 1-parameter stable unfoldings

Algebraic Geometry 2024-10-15 v1

Abstract

We give two characterisations of when a map-germ admits a 1-parameter stable unfolding, one related to the Ke\mathscr K_e-codimension and another related to the normal form of a versal unfolding. We then prove that there are infinitely many finitely determined map-germs of multiplicity 4 from K3\mathbb K^3 to K3\mathbb K^3 which do not admit a 1-parameter stable unfolding.

Keywords

Cite

@article{arxiv.2410.10321,
  title  = {A note on 1-parameter stable unfoldings},
  author = {Ignacio Breva Ribes and Raúl Oset Sinha},
  journal= {arXiv preprint arXiv:2410.10321},
  year   = {2024}
}
R2 v1 2026-06-28T19:20:18.147Z