Geodesic
Analyse complexe
L 2 extension theorem for jets with variable denominators
Rao, Sheng1, 2 ; Zhang, Runze3 
1 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, People’s Republic of China
2 Université de Grenoble-Alpes, Institut Fourier (Mathématiques) UMR 5582 du C.N.R.S., 100 rue des Maths, 38610 Gières, France
3 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, People’s Republic of China.
Comptes Rendus. Mathématique, Tome 359 (2021) no. 2, pp. 181-193.

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By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. Popovici for the L 2 extension theorem for jets. As a direct corollary, we also give a generalization of T. Ohsawa–K. Takegoshi’s extension theorem to a jet version.

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DOI : 10.5802/crmath.167
Classification : 32D15, 32L10, 32Q15, 32T35
Keywords: Continuation of analytic objects in several complex variables; Sheaves and cohomology of sections of holomorphic vector bundles, general results, Kähler manifolds, Exhaustion functions

Rao, Sheng 1, 2 ; Zhang, Runze 3

1 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, People’s Republic of China
2 Université de Grenoble-Alpes, Institut Fourier (Mathématiques) UMR 5582 du C.N.R.S., 100 rue des Maths, 38610 Gières, France
3 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, People’s Republic of China.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Rao, Sheng; Zhang, Runze. $L^2$ extension theorem for jets with variable denominators. Comptes Rendus. Mathématique, Tome 359 (2021) no. 2, pp. 181-193. doi : 10.5802/crmath.167. http://geodesic.mathdoc.fr/articles/10.5802/crmath.167/

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