We prove the analyticity of -concave sets of locally finite Hausdorff -measure in a -dimensional complex space. We apply it to give a removability criterion for meromorphic maps with values in -complete spaces.
Nous montrons l’analyticité d’un ensemble -concave contenu dans un espace complexe de dimension et de -mesure de Hausdorff localement finie. On en déduit un théorème d’élimination des singularités pour les applications méromorphes à valeurs dans un espace -complet.
@article{AIF_2000__50_4_1191_0,
author = {V\^aj\^aitu, Viorel},
title = {The analyticity of $q$-concave sets of locally finite {Hausdorff} $(2n-2q)$ measure},
journal = {Annales de l'Institut Fourier},
pages = {1191--1203},
year = {2000},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {50},
number = {4},
doi = {10.5802/aif.1789},
zbl = {0974.32006},
mrnumber = {2001j:32010},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1789/}
}
TY - JOUR AU - Vâjâitu, Viorel TI - The analyticity of $q$-concave sets of locally finite Hausdorff $(2n-2q)$ measure JO - Annales de l'Institut Fourier PY - 2000 SP - 1191 EP - 1203 VL - 50 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1789/ DO - 10.5802/aif.1789 LA - en ID - AIF_2000__50_4_1191_0 ER -
%0 Journal Article %A Vâjâitu, Viorel %T The analyticity of $q$-concave sets of locally finite Hausdorff $(2n-2q)$ measure %J Annales de l'Institut Fourier %D 2000 %P 1191-1203 %V 50 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1789/ %R 10.5802/aif.1789 %G en %F AIF_2000__50_4_1191_0
Vâjâitu, Viorel. The analyticity of $q$-concave sets of locally finite Hausdorff $(2n-2q)$ measure. Annales de l'Institut Fourier, Tome 50 (2000) no. 4, pp. 1191-1203. doi: 10.5802/aif.1789
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