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The image of a finely holomorphic map is pluripolar

Armen Edigarian·Said El Marzguioui·Jan Wiegerinck
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Abstract

We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic function.

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Armen Edigarian, Said El Marzguioui, Jan Wiegerinck. 2008-01-30. The image of a finely holomorphic map is pluripolar. https://arxiv.org/abs/math/0701136

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