The author explicitly describes the set $\text{Supp}\left(H_I^d\left(M\right)\right)$, where $R$ is a noetherian ring of dimension $d$, $I$ is an ideal, and $M$ is a finitely generated faithful $R$-module, as follows:

The author calls the ideal $I$ formally isolated at a prime ideal $P$ if the condition onn the right side above holds. The author also defines “normally isolated", analyzes connections between formally isolated and normally isolated, gives other descriptions of $\text{Supp}\left(H_I^d\left(M\right)\right)$, and gives some criteria for finite generation of the module $H_I^d\left(M\right)$.