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math.CV2020
On compacts possessing strictly plurisubharmonic functions
Nikolay Shcherbina
We give a geometric condition on a compact subset of a complex manifold which is necessary and sufficient for the existence of a smooth strictly plurisubharmonic function defined i…
math.CV2020
Foliations of continuous q-pseudoconcave graphs
Thomas Pawlaschyk, Nikolay Shcherbina
We show that for the graph of a continuous mapping , defined on a domain in , is locally foli…
math.CV2020
A Kobayashi and Bergman complete domain without bounded representations
Nikolay Shcherbina, Liyou Zhang
We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in , which also possesses complete Bergman metric, but has no nonconstant bou…