Let R = K[x1, x2, x3, x4] be the polynomial ring over a field of characteristic zero. For the ideal (where at least one of a, b, c and d is equal to two, we prove that its generic initial ideal with respect to the reverse lexicographic order is the almost revlex ideal corresponding to the same Hilbert function.
Mathematics Subject Classification (2000). Primary 13A02; Secondary 13C40, 13F20, 13D40.
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