SIMPLICIAL COMPLEXES SATISFYING SERRE’S CONDITION VERSUS THE ONES WHICH ARE COHEN–MACAULAY IN A FIXED CODIMENSION

M. R. Pournaki, M. Poursoltani, N. Terai, S. Yassemi

研究成果査読

1 被引用数 (Scopus)

抄録

In this paper, we give necessary and sufficient conditions for a simplicial complex with small codimension to satisfy the Serre’s condition (Sr) as well as the CMt property. We also give a connection between being (Sr) and being CMt. The main tools for this study are local cohomology modules and their Matlis duals.

本文言語English
ページ(範囲)2506-2522
ページ数17
ジャーナルSIAM Journal on Discrete Mathematics
36
4
DOI
出版ステータスPublished - 2022

ASJC Scopus subject areas

  • 数学一般

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