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math.DG2020
Pluripotential-theoretic stability thresholds
Mingchen Xia
Given a compact polarized manifold , we introduce two new stability thresholds in terms of singularity types of global quasi-plurisubharmonic functions on . We prove that…
math.DG2020★ 10 cited
The closures of test configurations and algebraic singularity types
Tamás Darvas, Mingchen Xia
Given a Kähler manifold with an ample line bundle , we consider the metric space of geodesic rays associated to the first Chern class . We characterize rays th…