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Multigraded Betti numbers of simplicial forests
Authors:Nursel Erey  Sara Faridi
Institution:Dalhousie University, Department of Mathematics, Halifax B3H 4R2, Canada
Abstract:We prove that multigraded Betti numbers of a simplicial forest are always either 0 or 1. Moreover a nonzero multidegree appears exactly in one homological degree in the resolution. Our work generalizes work of Bouchat 2] on edge ideals of graph trees.
Keywords:05C05  05E40  05E45  13C10  13D02  13F55
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