On the set of complex points of a 2-sphere

Shcherbina, Nikolay

Shcherbina, Nikolay

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 1, pp. 73-87.

Résumé

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 $S$ .

MR 2512201 | Zbl 1194.32028

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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