On the set of complex points of a 2-sphere

Shcherbina, Nikolay

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

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