The Thurston compactification of the stability manifold of a generic analytic K3 surface

TL;DR

This paper describes the closure of the Bridgeland stability manifold for a generic analytic K3 surface with Picard group zero, using the masses of semi-rigid objects to understand its structure.

Contribution

It introduces a new description of the stability manifold's closure for generic analytic K3 surfaces, leveraging semi-rigid objects and their masses.

Findings

Closure of the stability manifold characterized

Relation between semi-rigid objects and stability conditions established

Provides new insights into the geometry of K3 surfaces

Abstract

Let X be an analytic K3 surface with Pic X = 0. We describe the closure of the Bridgeland stability manifold of X obtained using the masses of semi-rigid objects.