The image of a finely holomorphic map is pluripolar

Details The image of a finely holomorphic map is pluripolar The image of a finely holomorphic map is pluripolar

2007-01-04

arxiv.org/abs/math/0701136v3

Mathematics

Complex Variables

15 pages, revised version: an example is added, Theorem 1.1 has been generalized to functions of several variables

Scientific paper

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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