Linearly related polyominoes

Abstract

We classify all convex polyomino ideals which are linearly related or have a linear resolution. Convex stack polyominoes whose ideals are extremal Gorenstein are also classified. In addition, we characterize, in combinatorial terms, the distributive lattices whose join-meet ideals are extremal Gorenstein or have a linear resolution.

References in corpus (2)

• Ideals generated by 2-minors, collection of cells and stack polyominoes
• A note on the subadditivity problem for maximal shifts in free resolutions

Cited by in corpus (2)

• Simple Polyominoes are Prime
• Gröbner bases of balanced polyominoes