Numerical aspects of complexes of finite homological dimensions

MR Zargar, M Gheibi - arXiv preprint arXiv:2305.12251, 2023 - arxiv.org
Let $(R,\fm) $ be a local ring, and let $ C $ be a semidualizing complex. We establish the
equality $ r_R (Z)=\nu (\Ext^{g-\inf C} _R (Z, C))\mu^{\depth C} _R (\mathfrak {m}, C) $ for a …