Multigraded Betti numbers of simplicial forests

Published 28 Oct 2013 in math.AC | (1310.7484v3)

Abstract: We prove that multigraded Betti numbers of a simplicial forest are always either 0 or 1. Moreover a nonzero multidegree appears exactly at one homological degree in the resolution. Our work generalizes work of Bouchat on edge ideals of graph forests.

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