On h-vectors of Buchsbaum Stanley-Reisner rings

Naoki Terai

doi:10.14492/hokmj/1351516714

On h-vectors of Buchsbaum Stanley-Reisner rings

Naoki Terai

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

9 Citations (Scopus)

Abstract

We give a necessary condition for a sequence of integers to be the h-vector of a Buchsbaum complex (or equivalently a Buchsbaum Stanley-Reisner ring). We construct 3-dimensional Buchsbaum Stanley-Reisner rings with depth 2 which give lower bounds of the h-vectors among those of the Buchsbaum Stanley-Reisner rings with the above conditions.

Original language	English
Pages (from-to)	137-148
Number of pages	12
Journal	Hokkaido Mathematical Journal
Volume	25
Issue number	1
DOIs	https://doi.org/10.14492/hokmj/1351516714
Publication status	Published - 1996
Externally published	Yes

Keywords

F-vector
H-vector
Hilbert function
O-sequence
Stanley-reisner ring Buchsbaum complex

ASJC Scopus subject areas

Mathematics(all)

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10.14492/hokmj/1351516714

Cite this

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AB - We give a necessary condition for a sequence of integers to be the h-vector of a Buchsbaum complex (or equivalently a Buchsbaum Stanley-Reisner ring). We construct 3-dimensional Buchsbaum Stanley-Reisner rings with depth 2 which give lower bounds of the h-vectors among those of the Buchsbaum Stanley-Reisner rings with the above conditions.

KW - F-vector

KW - H-vector

KW - Hilbert function

KW - O-sequence

KW - Stanley-reisner ring Buchsbaum complex

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JO - Hokkaido Mathematical Journal

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ER -

On h-vectors of Buchsbaum Stanley-Reisner rings

Abstract

Keywords

ASJC Scopus subject areas

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