Proper holomorphic disks in the complement of varieties in $\mathbb{C}^2$

• Autores: Stefan Borell, Frank Kutzschebauch, Erlend Fornaess Wold
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 4, 2008, págs. 821-826
• Idioma: inglés
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• Resumen

  • We prove that for any complete pluripolar set $X\subset\C^2$ (in particular for any analytic subset) there exists a proper holomorphic embedding $\phi\colon\triangle\emb\C^2$ of the open unit disk $\triangle\subset\C$ such that $\phi(\triangle)\cap X=\emptyset$. It follows that the same holds true in $\C^n$ for any $n>1$.