English

Deformations of weighted homogeneous surface singularities with big central node

Algebraic Geometry 2023-06-13 v2

Abstract

We prove Koll\'{a}r conjecture for weighted homogeneous surface singularities with big central node. More precisely, we show that every irreducible component of the deformation space of the singularity is parametrized by a certain partial resolution which is known as a PP-resolution.

Keywords

Cite

@article{arxiv.2305.14738,
  title  = {Deformations of weighted homogeneous surface singularities with big central node},
  author = {Jaekwan Jeon and Dongsoo Shin},
  journal= {arXiv preprint arXiv:2305.14738},
  year   = {2023}
}

Comments

Theorem 1.1 is more detailed. Some typos are corrected. Comments are welcome

R2 v1 2026-06-28T10:44:00.136Z