An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules

Details An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules

2011-06-14

arxiv.org/abs/1106.2639v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

We use a result of Hellus about generalized local duality to describe some generalized Matlis duals for certain quasi-\F-modules. Furthermore, we apply this description to obtain examples for non-artinian local cohomology modules by the theory of \F-modules. In particular, we get a new view on Hartshorne's counterexample for a conjecture by Grothendieck about the finiteness of $Hom_R(R/I,H^i_I(R))$ for a noetherian local Ring $R$ and an ideal $I \subseteq R$.

Affiliated with

Also associated with

No associations

Rating

An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An application of generalized Matlis duality for quasi-\F-modules to the Artinianness of local cohomology modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-113293