Proof of the Gorenstein Interval Conjecture in low socle degree

Sung Gi Park, Richard P. Stanley, Fabrizio Zanello

Roughly ten years ago, the following "Gorenstein Interval Conjecture" (GIC) was proposed: Whenever $(1,h_1,\dots ,h_i,\dots ,h_{e-i},\dots ,h_{e-1},1)$ and $(1,h_1,\dots,h_i+α,\dots,h…