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Marziyeh Hatamkhani

Marziyeh Hatamkhani

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0003-1021-2827
Education: PhD.
ScopusId: 55647016200
Faculty: Science
Address: Arak University
Phone:

Research

Title
The Derived Category Analogue of the Hartshorne-Lichtenbaum Vanishing Theorem
Type
JournalPaper
Keywords
{Attached prime ideals; derived categories; local cohomology; stable under specialization subsets.
Year
2013
Journal Tokyo Journal of Mathematics
DOI
Researchers Marziyeh Hatamkhani ، Kamran Divaani Aazar

Abstract

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 $\dim \hat{R}/\fp-\inf (X\otimes_R\hat{R})_{\fp}=d$.