Locally complete intersection Stanley-Reisner ideals

Abstract

In this paper, we prove that the Stanley--Reisner ideal of any connected simplicial complex of dimension $\ge 2$ that is locally complete intersection is a complete intersection ideal. As an application, we show that the Stanley--Reisner ideal whose powers are Buchsbaum is a complete intersection ideal.

15 pages

Cited by in corpus (1)

• The Stanley-Reisner ideals of polygons as set-theoretic complete intersections