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}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {4}, year = {2000}, doi = {10.5802/aif.1789}, mrnumber = {2001j:32010}, zbl = {0974.32006}, language = {en}, url = {http://archive.numdam.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 - http://archive.numdam.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 http://archive.numdam.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, Volume 50 (2000) no. 4, pp. 1191-1203. doi : 10.5802/aif.1789. http://archive.numdam.org/articles/10.5802/aif.1789/
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