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arXiv · 1501.01513

Weak Lefschetz Property and Stellar Subdivisions of Gorenstein Complexes

Janko Boehm·Stavros Argyrios Papadakis
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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.

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Janko Boehm, Stavros Argyrios Papadakis. 2015-01-07. Weak Lefschetz Property and Stellar Subdivisions of Gorenstein Complexes. https://arxiv.org/abs/1501.01513

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