Smoothing of surface singularities via equivariant smoothing of lci covers

2023/09/28 by Jiang, Yunfeng · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.16562

Abstract

We provide some results of the smoothing of surface singularities by Looijenga-Wahl and study smoothing of isolated surface singularities induced by equivariant smoothing of locally complete intersection (\lci) singularities. We classify the situation where the smoothing of a simple elliptic singularity, a cusp singularity or its cyclic quotient is induced by the equivariant smoothing of the \lci covers.

Cited by

• Equivariant deformation of minimally elliptic singularities

Related

• Equivariant smoothing of cusp singularities
• Equivariant deformation of minimally elliptic singularities
• ℤ/2ℤ-Equivariant smoothings of cusp singularities
• Durfee's conjecture on the signature of smoothings of surface singularities
• Deformation and Smoothing of Singularities