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- W4324377635 abstract "We study pseudonorms on pluricanonical bundles over Stein manifolds. We prove that the pseudonorms determine holomorphic structures of Stein manifolds under certain assumptions. This theorem is a generalization of the result obtained by Deng, Wang, Zhang, and Zhou for bounded domains in $mathbb{C}^n$. We also investigate Stein morphisms and the pseudonorms on direct images of pluricanonical bundles. Our main goal in this paper is to show that the pseudonorms also determine holomorphic structures of Stein morphisms. One important technique is an $L^{2/m}$-variant of the Ohsawa-Takegoshi extension theorem." @default.
- W4324377635 created "2023-03-16" @default.
- W4324377635 creator A5072836595 @default.
- W4324377635 date "2019-10-13" @default.
- W4324377635 modified "2023-09-24" @default.
- W4324377635 title "Pseudonorms on direct images of pluricanonical bundles" @default.
- W4324377635 doi "https://doi.org/10.48550/arxiv.1910.05771" @default.
- W4324377635 hasPublicationYear "2019" @default.
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