On the set of complex points of a 2-sphere
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 1, pp. 73-87.

Let $G$ be a strictly pseudoconvex domain in ${ℂ}^{2}$ with ${C}^{\infty }$-smooth boundary $\partial G$. Let $S$ be a 2-dimensional sphere embedded into $\partial G$. Denote by $ℰ$ the set of all complex points on $S$. We study how the structure of the set $ℰ$ depends on the smoothness of $S$.

Classification : 32T15,  32V40,  53D10
@article{ASNSP_2009_5_8_1_73_0,
author = {Shcherbina, Nikolay},
title = {On the set of complex points of a 2-sphere},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {73--87},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 8},
number = {1},
year = {2009},
zbl = {1194.32028},
mrnumber = {2512201},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2009_5_8_1_73_0/}
}
Shcherbina, Nikolay. On the set of complex points of a 2-sphere. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 1, pp. 73-87. http://www.numdam.org/item/ASNSP_2009_5_8_1_73_0/

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