The local cohomology modules of matlis reflexive modules are almost cofinite
We show that if M and N are Matlis reflexive modules over a complete Gorenstein local domain R and I is an ideal of R such that the dimension of R/I is one, then the modules ExtRi(N, HIj(M)) are Matlis reflexive for all i and j if Supp(N) ⊆ V(I). It follows that the Bass numbers of HIj(M) are finite. If R is not a domain, then the same results hold for M = R.
Bass number, Gorenstein ring, Local cohomology module, Matlis reflexive module
Belshoff, Richard, Susan Slattery, and Cameron Wickham. "The local cohomology modules of Matlis reflexive modules are almost cofinite." Proceedings of the American Mathematical Society 124, no. 9 (1996): 2649-2654.
Proceedings of the American Mathematical Society