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arxiv: 1507.07136 · v2 · pith:7HZRBHAInew · submitted 2015-07-25 · 🧮 math.CV · math.SG

Analytic filling of totally real tori

classification 🧮 math.CV math.SG
keywords analyticfillingrealtorustotallyaffineattachedcomplex
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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.

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