The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.
Lyubeznik,Finiteness properties of local cohomology modules (an application of D-modules to commutative algebra), Invent
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Bass numbers of graded components of local cohomology modules
The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.