Abstract
Let $\mathfrak{a}$ be an ideal of a local ring $(R,\mathfrak{m})$ and $X$ a $d$-dimensional homologically bounded complex of $R$-modules whose all homology modules are finitely generated. We show that $H^d_{\mathfrak{a}}(X)=0$ if and only if $\dim \widehat{R}/\mathfrak{a} \widehat{R}+\mathfrak{p}>0$ for all prime ideals $\mathfrak{p}$ of $\hat{R}$ such that $\dim \hat{R}/\mathfrak{p}-\inf (X\otimes_R\hat{R})_{\mathfrak{p}}=d$.
Citation
Kamran DIVAANI-AAZAR. Marziyeh HATAMKHANI. "The Derived Category Analogue of the Hartshorne-Lichtenbaum Vanishing Theorem." Tokyo J. Math. 36 (1) 195 - 205, June 2013. https://doi.org/10.3836/tjm/1374497519
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