On h-vectors of Buchsbaum Stanley-Reisner rings

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9 Citations (Scopus)


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 languageEnglish
Pages (from-to)137-148
Number of pages12
JournalHokkaido Mathematical Journal
Issue number1
Publication statusPublished - 1996
Externally publishedYes


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

ASJC Scopus subject areas

  • Mathematics(all)


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