Pseudonorms on direct images of pluricanonical bundles
Pseudonorms on direct images of pluricanonical bundles
复制标题
DOI：
10.1016/j.jfa.2023.109916
复制
发表时间：
2019-10
影响因子：
1.7
通讯作者：
Takahiro Inayama
中科院分区：
文献类型：
--
作者：
Takahiro Inayama
研究Stein流形上多正则束的伪规范。在一定的假设条件下，证明了斯坦流形的伪规范决定了其全纯结构。这个定理是基于和推广了邓、王、张和周[8]在C n中有界域上的结果。我们还研究了多序束的直接象上的Stein态射和伪规范。本文的主要目的是证明伪规范也决定了Stein态射的全纯结构。一个重要的技术是Ohsawa-Takegoshi扩展定理的l2 /m变体。
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 based on and a generalization of the result obtained by Deng, Wang, Zhang and Zhou [8] for bounded domains in 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.