3 papers
math.AC2017
Dual of Faltings' Theorems on Finiteness of Local Cohomology
Marziyeh Hatamkhani
Let be a commutative Noetherian ring and $\fa$ an ideal of . We intend to establish the dual of two Faltings' Theorems for local homology modules of an Artinian module. As a…
math.AC2012
On the vanishing of local homology modules
Marziyeh Hatamkhani, Kamran Divaani-Aazar
Let be a commutative Noetherian ring, $\fa$ an ideal of and an -module. We intend to establish the dual of Grothendieck's Vanishing Theorem for local homology module…
math.AC2012
The derived category analogue of the Hartshorne-Lichtenbaum Vanishing Theorem
Marziyeh Hatamkhani, Kamran Divaani-Aazar
Let $\fa$ be an ideal of a local ring $(R,\fm)$ and a -dimensional homologically bounded complex of -modules whose all homology modules are finitely generated. We show th…