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math.AC2002★ 1 cited
The h-vector of a ladder determinantal ring cogenerated by 2x2 minors is log-concave
Martin Rubey
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
math.AC2001
A determinantal formula for the Hilbert series of one-sided ladder determinantal rings
Christian Krattenthaler, Martin Rubey
We give a formula that expresses the Hilbert series of one-sided ladder determinantal rings, up to a trivial factor, in form of a determinant. This allows the convenient computatio…