Level algebras through Buchsbaum* manifolds

Uwe Nagel

doi:10.1007/s13348-010-0018-4

Level algebras through Buchsbaum* manifolds

Uwe Nagel

Mathematics

Producción científica: Article › revisión exhaustiva

2 Citas (Scopus)

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.

Idioma original	English
Páginas (desde-hasta)	187-196
Número de páginas	10
Publicación	Collectanea Mathematica
Volumen	62
N.º	2
DOI	https://doi.org/10.1007/s13348-010-0018-4
Estado	Published - may 2011

Nota bibliográfica

Funding 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.

Financiación

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.

Financiadores	Número del financiador
National Security Agency	H98230-09-1-0032

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s13348-010-0018-4

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AB - 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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Level algebras through Buchsbaum* manifolds

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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