On compact subsets possessing strictly plurisubharmonic functions

N. V. Shcherbina

Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 605-618.

Résumé

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 in a neighbourhood of this set.

Détail

Keywords: strictly plurisubharmonic functions, $1$-pseudoconcave sets.

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