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arXiv · 0709.3149

Local cohomology based on a nonclosed support defined by a pair of ideals

Ryo Takahashi·Yuji Yoshino·Takeshi Yoshizawa
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Abstract

We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I,J), and study their various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with the ordinary local cohomology.

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Ryo Takahashi, Yuji Yoshino, Takeshi Yoshizawa. 2008-08-01. Local cohomology based on a nonclosed support defined by a pair of ideals. https://arxiv.org/abs/0709.3149

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