Simplicial complexes of small codimension

Matteo Varbaro; Rahim Zaare-Nahandi

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arXiv · 1806.05107

Simplicial complexes of small codimension

Matteo Varbaro·Rahim Zaare-Nahandi

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Abstract

We show that a Buchsbaum simplicial complex of small codimension must have large depth. More generally, we achieve a similar result for ${\rm CM}_t$ simplicial complexes, a notion generalizing Buchsbaum-ness, and we prove more precise results in the codimension 2 case. Along the paper, we show that the ${\rm CM}_t$ property is a topological invariant of a simplicial complex.

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Matteo Varbaro, Rahim Zaare-Nahandi. 2018-06-13. Simplicial complexes of small codimension. https://arxiv.org/abs/1806.05107

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