Numerical aspects of complexes of finite homological dimensions

Majid Rahro Zargar, Mohsen Gheibi

Let $(R,\fm)$ be a local ring, and let $C$ be a semidualizing complex. We establish the equality $r_R(Z) = ν(\Ext^{g-\inf C}_R(Z,C))μ^{\depth C}_R(\mathfrak{m}, C)$ for a homologic…