[L’inversion analytique d’adjonction : théorèmes de prolongement avec gain]
Nous établissons des résultats nouveaux sur le prolongement à poids des formes holomorphes de degré maximal avec des valeurs dans un fibré linéaire, d’une hypersurface holomorphe lisse définie par une fonction holomorphe. Les poids que nous employons sont déterminés par certaines fonctions que nous appelons des dénominateurs. Nous donnons une collection d’exemples de ces dénominateurs liés au diviseur défini par la sous-variété.
We establish new results on weighted -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.
Keywords: Ohsawa-Takegoshi-type extension, twisted Bochner-Kodaira technique, denominators
Mot clés : Ohsawa-Takegoshi-type extension, technique de Bochner-Kodaira tordue, dénominateurs
@article{AIF_2007__57_3_703_0,
author = {McNeal, Jeffery D. and Varolin, Dror},
title = {Analytic inversion of adjunction: $L^2$ extension theorems with gain},
journal = {Annales de l'Institut Fourier},
pages = {703--718},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {57},
number = {3},
year = {2007},
doi = {10.5802/aif.2273},
mrnumber = {2336826},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2273/}
}
TY - JOUR AU - McNeal, Jeffery D. AU - Varolin, Dror TI - Analytic inversion of adjunction: $L^2$ extension theorems with gain JO - Annales de l'Institut Fourier PY - 2007 SP - 703 EP - 718 VL - 57 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2273/ DO - 10.5802/aif.2273 LA - en ID - AIF_2007__57_3_703_0 ER -
%0 Journal Article %A McNeal, Jeffery D. %A Varolin, Dror %T Analytic inversion of adjunction: $L^2$ extension theorems with gain %J Annales de l'Institut Fourier %D 2007 %P 703-718 %V 57 %N 3 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2273/ %R 10.5802/aif.2273 %G en %F AIF_2007__57_3_703_0
McNeal, Jeffery D.; Varolin, Dror. Analytic inversion of adjunction: $L^2$ extension theorems with gain. Annales de l'Institut Fourier, Tome 57 (2007) no. 3, pp. 703-718. doi : 10.5802/aif.2273. http://www.numdam.org/articles/10.5802/aif.2273/
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