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

Nguyên Công Minh; Naoki Terai; Phan Thi Thuy

doi:10.1016/j.jalgebra.2019.05.044

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

Nguyên Công Minh, Naoki Terai, Phan Thi Thuy

Research output: Contribution to journal › Article › peer-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 I_Δ is a complete intersection and equi-generated. For t=2, we give a characterization of level property of the second symbolic power I_Δ ⁽²⁾ when Δ is a matroid complex of dimension one.

Original language	English
Pages (from-to)	350-364
Number of pages	15
Journal	Journal of Algebra
Volume	535
DOIs	https://doi.org/10.1016/j.jalgebra.2019.05.044
Publication status	Published - Oct 1 2019
Externally published	Yes

Keywords

Levelness
Matroid
Ordinary powers
Stanley-Reisner ideal
Symbolic powers

ASJC Scopus subject areas

Algebra and Number Theory

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