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math.CV2024
The Hausdorff distance and metrics on toric singularity types
Ayo Aitokhuehi, Benjamin Braiman, David Owen Horace Cutler +6
Given a compact Kähler manifold , due to the work of Darvas-Di Nezza-Lu, the space of singularity types of -psh functions admits a natural pseudo-metric th…
math.DG2024
The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds
Tamás Darvas, Mingchen Xia
We introduce the trace operator for quasi-plurisubharmonic functions on compact Kähler manifolds, allowing to study the singularities of such functions along submanifolds where the…