Division theorems for exact sequences

被引：2
|
作者：
Ji, Qingchun [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
MATHEMATISCHE ANNALEN | 2013年 / 355卷 / 03期
关键词：
IDEALS; INVARIANCE; MEMBERSHIP; SHEAVES; COMPLEX;
D O I：
10.1007/s00208-012-0807-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under certain integrability and geometric conditions, we prove division theorems for the exact sequences of holomorphic vector bundles and improve the results in the case of Koszul complex. By introducing a singular Hermitian structure on the trivial bundle, our results recover Skoda's division theorem for holomorphic functions on pseudoconvex domains in complex Euclidean spaces.
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页码：947 / 984
页数：38
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