Analytic filling of totally real tori
We prove that any embedded Maslov index two analytic disc attached to a totally real torus in the complex two-dimensional affine space extends to an analytic filling provided that the torus is contained in a regular level set of a strictly plurisubharmonic function.
| Verfasser: | |
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2016 |
| Publikation in MIAMI: | 22.08.2016 |
| Datum der letzten Änderung: | 16.04.2019 |
| Quelle: | Münster Journal of Mathematics, 9 (2016), S. 207-219 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-35209712395 |
| Weitere Identifikatoren: | DOI: 10.17879/35209711850 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-35209712395 |
| Onlinezugriff: | mjm_2016_9_207-219.pdf |
We prove that any embedded Maslov index two analytic disc attached to a totally real torus in the complex two-dimensional affine space extends to an analytic filling provided that the torus is contained in a regular level set of a strictly plurisubharmonic function.