A converse of Hormander's L^(2)-estimate and new positivity notions for vector bundles

作     者：Genki Hosono Takahiro Inayama Genki Hosono;Takahiro Inayama

作者机构：Mathematical InstituteTohoku UniversitySendai 980-8578Japan Graduate School of Mathematical SciencesThe University of TokyoTokyo 153-8914Japan 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2021年第64卷第8期

页      面：1745-1756页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Program for Leading Graduate Schools the Ministry of Education Culture Sports Science and Technology Japan and Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research(Grant No.18J22119) 

主　　题：L^(2)-estimate singular Hermitian metrics Ohsawa-Takegoshi L^(2)-extension theorems 

摘      要：We study conditions of Hormander s L^(2)-estimate and the Ohsawa-Takegoshi extension *** a twisted version of the Hormander-type condition,we show a converse of Hormander s L^(2)-estimate under some regularity assumptions on an n-dimensional *** result is a partial generalization of the one-dimensional result obtained by Berndtsson(1998).We also define new positivity notions for vector bundles with singular Hermitian metrics by using these *** investigate these positivity notions and compare them with classical positivity notions.