Geodesic
On compact subsets possessing strictly plurisubharmonic functions
Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 605-618

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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.
Keywords: strictly plurisubharmonic functions, $1$-pseudoconcave sets. 
@article{IM2_2021_85_3_a17,
     author = {N. V. Shcherbina},
     title = {On compact subsets possessing strictly plurisubharmonic functions},
     journal = {Izvestiya. Mathematics },
     pages = {605--618},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a17/}
}
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N. V. Shcherbina. On compact subsets possessing strictly plurisubharmonic functions. Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 605-618. http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a17/