Let R=k[x,y,z] be a standard graded 3-variable polynomial ring, where k denotes any field. We study grade 3 homogeneous ideals I⊆R defining compressed rings with socle k(−s)ℓ⊕k(−2s+1), s⩾3 and ℓ⩾1 are integers. The case for ℓ=1 was previously studied in [8]; generically minimal resolution constructed all such ideals. paper [7] generalizes this the guise of (iterated) trimming complexes. In pape...
