全实环面的解析填充
Analytic filling of totally real tori
摘要:
证明了在复二维仿射空间中,任意嵌入到一个全实环面上的Maslov指标为2的解析圆盘,只要该环面包含在一个严格多重次调和函数的正则水平集中,就可扩张到一个解析填充.
英文摘要:
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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