paper

Deformations of weighted homogeneous surface singularities with big central node

arXiv:2305.14738

Abstract

We prove Kollár 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 -resolution.

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

Deformations of weighted homogeneous surface singularities with big central node · wovepaper