Level algebras through Buchsbaum* manifolds
Commutative Algebra
2010-06-24 v1
Abstract
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.
Cite
@article{arxiv.1006.4393,
title = {Level algebras through Buchsbaum* manifolds},
author = {Uwe Nagel},
journal= {arXiv preprint arXiv:1006.4393},
year = {2010}
}
Comments
to appear in Collectanea Mathematica