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
• DOI: 10.4310/mrl.2008.v15.n4.a18
• Texto completo no disponible (Saber más ...)
• 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 $n>1$.