Geodesic
The image of a finely holomorphic map is pluripolar
Armen Edigarian1 ; Said El Marzguioui2 ; Jan Wiegerinck2
1Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2KdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The Netherlands
Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 137-149
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is a pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
DOI : 10.4064/ap97-2-3
Keywords: prove image finely holomorphic map fine domain mathbb pluripolar subset mathbb discuss relationship between pluripolar hulls finely holomorphic functions

Armen Edigarian  1   ; Said El Marzguioui  2   ; Jan Wiegerinck  2

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 KdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The Netherlands 
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Armen Edigarian; Said El Marzguioui; Jan Wiegerinck. The image of a finely holomorphic map is pluripolar. Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 137-149. doi: 10.4064/ap97-2-3

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