Symplectic resolution of orbifolds with homogeneous isotropy

TL;DR

This paper presents a method to construct symplectic resolutions for orbifolds with uniform isotropy groups, expanding the understanding of symplectic geometry in orbifold singularities.

Contribution

It introduces a new construction technique for symplectic resolutions of orbifolds with homogeneous isotropy, filling a gap in the existing geometric theory.

Findings

Successfully resolves orbifolds with homogeneous isotropy groups

Provides explicit construction methods for symplectic resolutions

Enhances understanding of orbifold singularities in symplectic geometry

Abstract

We construct the symplectic resolution of a symplectic orbifold whose isotropy locus consists of disjoint submanifolds with homogeneous isotropy, that is, all its points have the same isotropy groups.