English

Linearly related polyominoes

Commutative Algebra 2014-03-19 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1403.4349,
  title  = {Linearly related polyominoes},
  author = {Viviana Ene and Jürgen Herzog and Takayuki Hibi},
  journal= {arXiv preprint arXiv:1403.4349},
  year   = {2014}
}
R2 v1 2026-06-22T03:28:49.607Z