  For a Noetherian local domain $A$, there exists an upper bound $N_\tau(A)$ on
the minimal number of generators of any height two ideal $I$ for which $A/I$ is
Cohen-Macaulay of type $\tau$. More precisely, we may take
$N_\tau(A):=(\tau+1)e_{\text{h}}(A)$, where $e_{\text{h}}(A)$ is the
homological multiplicity of $A$.

Commutative Algebra