Linearly related polyominoes
  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. 
Viviana Ene, J\"urgen Herzog, Takayuki Hibi
math.AC math.CO