Local cohomology and pure morphisms
Local cohomology and pure morphisms
复制标题
局部上同调和纯态射
DOI：
10.1215/ijm/1258735336
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发表时间：
2007
影响因子：
0.6
通讯作者：
U. Walther
中科院分区：
文献类型：
--
作者：
Anurag Singh;U. Walther
我们研究了Eisenbud， Mustata和Stillman提出的关于Ext模到局部上同模的自然映射的注入性的问题。我们对这个问题得到了一些肯定的答案，这些答案推广了Lyubeznik先前的结果。在此过程中，我们还证明了局部上同模的一个消失定理，它连接了在正特征和单项式理想情况下已知的定理。
We study a question raised by Eisenbud, Mustata, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answers to this question which extend earlier results of Lyubeznik. In the process, we also prove a vanishing theorem for local cohomology modules which connects theorems previously known in the case of positive characteristic and in the case of monomial ideals.