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arxiv: math/0205212 · v2 · submitted 2002-05-20 · 🧮 math.AC · math.AG· math.CO

The h-vector of a ladder determinantal ring cogenerated by 2x2 minors is log-concave

classification 🧮 math.AC math.AGmath.CO
keywords cogenerateddeterminantalh-vectorladderlog-concaveringconcaconjecture
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We show that the h-vector of a ladder determinantal ring cogenerated by M=[u_1|v_1] is log-concave. Thus we prove an instance of a conjecture of Stanley, resp. Conca and Herzog

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