Stanley-Reisner rings of Buchsbaum* complexes are studied by means of their quotients modulo a linear system of parameters. The socle of these quotients is computed. Extending a recent result by Novik and Swartz for orientable homology manifolds without boundary, it is shown that modulo a part of their socle these quotients are level algebras. This provides new restrictions on the face vectors of Buchsbaum* complexes.
|Number of pages||10|
|State||Published - May 2011|
Bibliographical noteFunding Information:
Part of the work for this paper was done while the author was sponsored by the National Security Agency under Grant Number H98230-09-1-0032.
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics