The McKay correspondence in type D₄ via VGIT

2024/02/08 by Tarig Abdelgadir, Abdelgadir, Tarig, Ed Segal +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2402.05763

Abstract

We present an explicit GIT construction which produces both the minimal resolution of the type D₄ surface singularity, and also the orbifold resolution. Our construction is based on a Tannakian approach which is in principle applicable to arbitrary quotient singularities.

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