Resumen de Cofiniteness and coassociated primes of local cohomology modules

Moharram Aghapournahr, Leif Melkersson

• Let R be a noetherian ring, a an ideal of R such that dimR/a=1 and M a finite R-module. We will study cofiniteness and some other properties of the local cohomology modules Hia(M). For an arbitrary ideal a and an R-module M (not necessarily finite), we will characterize a-cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.