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.

Author: Zehmisch, Kai
Document types:Article
Media types:Text
Publication date:2016
Date of publication on miami:22.08.2016
Modification date:16.04.2019
Source:Münster Journal of Mathematics, 9 (2016), S. 207-219
Publisher: Mathematisches Institut (Universität Münster)
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-35209712395
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-35209712395
Other Identifiers:DOI: 10.17879/35209711850
Digital documents: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.