Face numbers of pseudomanifolds with isolated singularities

摘要: We investigate the face numbers of simplicial complexes with Buchsbaum vertex links, especially pseudomanifolds isolated singularities. This includes deriving Dehn-Sommerville relations for singularities and establishing lower bound theorems when are also homologically isolated. give formulas Hilbert function a generic Artinian reduction ring any pure two-dimensional complex. Some examples spaces where $f$-vector can be completely characterized described. Let $\Delta$ $\Delta'$ two that homeomorphic have same $f$-vector. In \cite{MNS} question is raised whether or not functions reductions their rings identical. prove this case if PL-homeomorphic.