English

Deformation and Smoothing of Singularities

Algebraic Geometry 2019-03-12 v1

Abstract

We give a survey on some aspects of deformations of isolated singularities. In addition to the presentation of the general theory, we report on the question of the smoothability of a singularity and on relations between different invariants, such as the Milnor number, the Tjurina number, and the dimension of a smoothing component.

Keywords

Cite

@article{arxiv.1903.03661,
  title  = {Deformation and Smoothing of Singularities},
  author = {Gert-Martin Greuel},
  journal= {arXiv preprint arXiv:1903.03661},
  year   = {2019}
}

Comments

This is intended as a chapter of the forthcoming "Handbook on the Geometry and Topology of Singularites"

R2 v1 2026-06-23T08:02:43.941Z