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arXiv · 1707.00501

On the matlis duals of local cohomology modules

Gennady Lyubeznik·Tuğba Yıldırım
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Abstract

Let $(R,\mathfrak{m})$ be a Noetherian regular local ring containing a field of characteristic $p>0$ and $I$ a nonzero ideal of $R$. In this short note, we prove that if $\operatorname{H}^i_I(R)\neq 0$, then $ \operatorname{Supp}_R(D(\operatorname{H}^i_{I}(R)))=\operatorname{Spec}(R)$.

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Gennady Lyubeznik, Tuğba Yıldırım. 2017-07-06. On the matlis duals of local cohomology modules. https://arxiv.org/abs/1707.00501

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