$L^2$ extension theorem for jets with variable denominators
- Resource Type
- article
- Authors
- Rao, Sheng; Zhang, Runze
- Source
- Comptes Rendus. Mathématique, Vol 359, Iss 2, Pp 181-193 (2021)
- Subject
- Continuation of analytic objects in several complex variables
Sheaves and cohomology of sections of holomorphic vector bundles
general results
Kähler manifolds
Exhaustion functions
Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
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.