Analytic inversion of adjunction: L 2 extension theorems with gain
[L’inversion analytique d’adjonction : théorèmes de prolongement avec gain]
McNeal, Jeffery D. ; Varolin, Dror
Annales de l'Institut Fourier, Tome 57 (2007), p. 703-718 / Harvested from Numdam
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Nous établissons des résultats nouveaux sur le prolongement L 2 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 L 2 -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.

Publié le : 2007-01-01
DOI : https://doi.org/10.5802/aif.2273
Classification:  32A99,  32Q99
Mots clés: Ohsawa-Takegoshi-type extension, technique de Bochner-Kodaira tordue, dénominateurs 
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     author = {McNeal, Jeffery D. and Varolin, Dror},
     title = {Analytic inversion of adjunction: $L^2$ extension theorems with gain},
     journal = {Annales de l'Institut Fourier},
     volume = {57},
     year = {2007},
     pages = {703-718},
     doi = {10.5802/aif.2273},
     zbl = {pre05176602},
     mrnumber = {2336826},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2007__57_3_703_0}
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McNeal, Jeffery D.; Varolin, Dror. Analytic inversion of adjunction: $L^2$ extension theorems with gain. Annales de l'Institut Fourier, Tome 57 (2007) pp. 703-718. doi : 10.5802/aif.2273. http://gdmltest.u-ga.fr/item/AIF_2007__57_3_703_0/

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