On Virtually Cohen-Macaulay Simplicial Complexes

Published 18 Jul 2020 in math.AC and math.CO | (2007.09443v1)

Abstract: We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtually Cohen-Macaulay (to have a virtual resolution with length equal to its codimension). We also show that all balanced simplicial complexes are virtually Cohen-Macaulay.

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