18 citations · 23 across the 13 of their papers we have counts for
4 papers · 1 filter
On the behavior of Castelnuovo-Mumford regularity with respect to some functors
Marc Chardin
We investigate the behavior of Castelnuovo-Mumford regularity with respect to some classical functors : Tor, the Frobenius functor in positive characteristic, taking a power or a p…
A duality theorem for generalized local cohomology
Marc Chardin, Kamran Divaani-Aazar
We prove a duality theorem for graded algebras over a field that implies several known duality results : graded local duality, versions of Serre duality for local cohomology and of…
Duality and Tameness
Marc Chardin, Steven Dale Cutkosky, Juergen Herzog +1
We prove a duality theorem for certain graded algebras and show by various examples different kinds of failure of tameness of local cohomology.
Generalized local cohomology and regularity of Ext modules
Marc Chardin, Kamran Divaani-Aazar
Let R be a Noetherian standard graded ring, and M and N two finitely generated graded R-modules. We introduce reg_R (M,N) by using the notion of generalized local cohomology instea…