We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plurisubharmonic functions, in the sense of Slodkowski.
Bianchi, F., Mongodi, S. (2024). Generalized Levi Currents and Singular Loci for Families of Plurisubharmonic Functions. THE JOURNAL OF GEOMETRIC ANALYSIS, 34(7) [10.1007/s12220-024-01617-6].
Generalized Levi Currents and Singular Loci for Families of Plurisubharmonic Functions
Mongodi S.
2024
Abstract
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plurisubharmonic functions, in the sense of Slodkowski.
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