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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Bibliographic Details
Published in:	Comptes rendus. Mathématique Vol. 359; no. 2; pp. 181 - 193
Main Authors:	Rao, Sheng, Zhang, Runze
Format:	Journal Article
Language:	English
Published:	Académie des sciences 17.03.2021
Subjects:	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
Online Access:	Get full text
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Description
Summary:	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