Let $(R,m)$ and $(S,n)$ be commutative noetherian local rings, and $f: R\rightarrow S$ be a local homomorphism (i.e., $f(m) \subseteq n$) with $S$ flat as $R$module. If $M$ is a finite generated $R$module, then what is the relation between $Supp_s(M\otimes S)$ and $Supp_R(M)$? Thanks in advance!
