Level algebras through Buchsbaum* manifolds

Uwe Nagel

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arXiv · 1006.4393

Level algebras through Buchsbaum* manifolds

Uwe Nagel

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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.

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BibTeX RIS

Uwe Nagel. 2010-06-22. Level algebras through Buchsbaum* manifolds. https://arxiv.org/abs/1006.4393

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