On cscK resolutions of conically singular cscK varieties

TL;DR

This paper explores methods to resolve conically singular constant scalar curvature Kähler (cscK) varieties into smooth cscK manifolds, providing a glueing technique for certain crepant resolutions with discrete automorphisms.

Contribution

It introduces a glueing approach for crepant resolutions of cscK varieties with singularities, advancing the understanding of smooth cscK manifold construction.

Findings

Established a glueing result for crepant resolutions

Demonstrated the existence of smooth cscK manifolds from singular varieties

Extended techniques for resolving conically singular cscK varieties

Abstract

In this note we discuss the problem of resolving conically singular cscK varieties to construct smooth cscK manifolds, showing a glueing result for (some) crepant resolutions of cscK varieties with discrete automorphism groups.