Resolutions of letterplace ideals of posets |
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| Authors: | Alessio D’Alì Gunnar Fløystad Amin Nematbakhsh |
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| Affiliation: | 1.Dipartimento di Matematica,Università degli Studi di Genova,Genova,Italy;2.Matematisk institutt,Universitetet i Bergen,Bergen,Norway;3.School of Mathematics,Institute for Research in Fundamental Sciences (IPM),Tehran,Iran |
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| Abstract: | We investigate resolutions of letterplace ideals of posets. We develop topological results to compute their multigraded Betti numbers, and to give structural results on these Betti numbers. If the poset is a union of no more than c chains, we show that the Betti numbers may be computed from simplicial complexes of no more than c vertices. We also give a recursive procedure to compute the Betti diagrams when the Hasse diagram of P has tree structure. |
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