Linearly related polyominoes
classification
🧮 math.AC
math.CO
keywords
idealsconvexextremalgorensteinlinearlinearlypolyominoesrelated
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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.
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