The Hausdorff distance and metrics on toric singularity types

Ayo Aitokhuehi, Benjamin Braiman, David Owen Horace Cutler +6

Given a compact Kähler manifold $(X,\omega )$, due to the work of Darvas-Di Nezza-Lu, the space of singularity types of $\omega$-psh functions admits a natural pseudo-metric $d_{\mathcal{S}}$ th…