摘要: A componentwise linear ideal is a graded I of polynomial ring such that, for each degree q , the generated by all homogeneous polynomials belonging to has resolution. Examples ideals include stable monomial and Gotzmann ideals. The Betti numbers can be determined its components. Combinatorics on squarefree will especially studied. It turns out that Stanley-Reisner Δ arising from simplicial complex if only Alexander dual sequentially Cohen-Macaulay. This result generalizes theorem Eagon Reiner which says resolution
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