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arXiv · 1403.4349

Linearly related polyominoes

Viviana Ene·Jürgen Herzog·Takayuki Hibi
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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.

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Viviana Ene, Jürgen Herzog, Takayuki Hibi. 2014-03-18. Linearly related polyominoes. https://arxiv.org/abs/1403.4349

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