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Deformations of weighted homogeneous surface singularities with big central node

2023/05/24 by Jaekwan Jeon, Dong‐Soo Shin, Jeon, Jaekwan +1
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/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 P-resolution.

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