مشخصات پژوهش

عنوان	The Derived Category Analogue of the Hartshorne-Lichtenbaum Vanishing Theorem
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	{Attached prime ideals; derived categories; local cohomology; stable under specialization subsets.
چکیده	Let $\fa$ be an ideal of a local ring $(R,\fm)$ and $X$ a $d$-dimensional homologically bounded complex of $R$-modules whose all homology modules are finitely generated. We show that $H^d_{\fa}(X)=0$ if and only if $\dim \widehat{R}/\fa \widehat{R}+\fp>0$ for all prime ideals $\fp$ of $\hat{R}$ such that $\dim \hat{R}/\fp-\inf (X\otimes_R\hat{R})_{\fp}=d$.
پژوهشگران	کامران دیوانی آذر (نفر دوم)، مرضیه حاتم خانی (نفر اول)