Weak Lefschetz Property and Stellar Subdivisions of Gorenstein Complexes
Commutative Algebra
2020-11-03 v1 Combinatorics
Abstract
Assume sigma is a face of a Gorenstein* simplicial complex D. We investigate the question of whether the Weak Lefschetz Property of the Stanley-Reisner ring k[D] (over an infinite field k) is equivalent to the same property of the Stanley-Reisner ring k[D_sigma] of the stellar subdivision D_sigma. We prove that this is the case if the dimension of sigma is big compared to the codimension.
Keywords
Cite
@article{arxiv.1501.01513,
title = {Weak Lefschetz Property and Stellar Subdivisions of Gorenstein Complexes},
author = {Janko Boehm and Stavros Argyrios Papadakis},
journal= {arXiv preprint arXiv:1501.01513},
year = {2020}
}
Comments
25 pages, 1 figure