Level property of ordinary and symbolic powers of Stanley-Reisner ideals

Nguyên Công Minh, Naoki Terai, Phan Thi Thuy

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove that the t-th ordinary and/or symbolic power of a Stanley-Reisner ideal is level for some positive integer t≥3 if and only if IΔ is a complete intersection and equi-generated. For t=2, we give a characterization of level property of the second symbolic power IΔ (2) when Δ is a matroid complex of dimension one.

Original languageEnglish
Pages (from-to)350-364
Number of pages15
JournalJournal of Algebra
Volume535
DOIs
Publication statusPublished - Oct 1 2019
Externally publishedYes

Keywords

  • Levelness
  • Matroid
  • Ordinary powers
  • Stanley-Reisner ideal
  • Symbolic powers

ASJC Scopus subject areas

  • Algebra and Number Theory

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