On a Curvature Condition that Implies a Cohomology Injectivity Theorem of Kollár–Skoda Type

On a Curvature Condition that Implies a Cohomology Injectivity Theorem of Kollár–Skoda Type
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DOI:
10.2977/prims/1145475223
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发表时间:
2005-09
影响因子:
1.2
通讯作者:
T. Ohsawa
T. Ohsawa
中科院分区:
数学3区
文献类型:
--
作者:
T. Ohsawa

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复流形上的广义L扩张定理中的奇异Hermite度量的曲率条件在一定条件下也蕴涵着上同调内射性定理。这表明曲率条件在比以前更一般的情况下仍然适用于扩张定理。
The curvature condition for the singular Hermitian metric in a generalized L extension theorem on complex manifolds implies also a cohomology injectivity theorem in certain circumstances. This shows that the curvature condition is still available for the extension theorem in more general situations than before.