Level algebras through Buchsbaum* manifolds

• Autores: Uwe Nagel
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 2, 2011, págs. 187-196
• Idioma: inglés
• DOI: 10.1007/s13348-010-0018-4
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• Resumen

  • 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.