Level algebras through Buchsbaum* manifolds

Uwe Nagel

doi:10.1007/s13348-010-0018-4

Level algebras through Buchsbaum* manifolds

Uwe Nagel

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	187-196
Number of pages	10
Journal	Collectanea Mathematica
Volume	62
Issue number	2
DOIs	https://doi.org/10.1007/s13348-010-0018-4
State	Published - May 2011

Bibliographical note

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.

Funding

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.

Funders	Funder number
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

Cite this

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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.",

author = "Uwe Nagel",

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N2 - 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.

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

Abstract

Bibliographical note

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ASJC Scopus subject areas

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