L 2 extension theorem for jets with variable denominators

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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Vydáno v:Comptes rendus. Mathématique Ročník 359; číslo 2; s. 181 - 193
Hlavní autoři: Rao, Sheng, Zhang, Runze
Médium: Journal Article
Jazyk:angličtina
Vydáno: Académie des sciences 17.03.2021
Témata:
Continuation of analytic objects in several complex variables; Sheaves and cohomology of sections of holomorphic vector bundles
Exhaustion functions
general results
Kähler manifolds
ISSN:1631-073X, 1778-3569
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Popis
Shrnutí: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.
ISSN:1631-073X
1778-3569
DOI:10.5802/crmath.167