Regularity and the Gorenstein property of \(L\)-convex polyominoes

DOI10.37236/9531zbMath1460.05205arXiv1911.08189OpenAlexW3138330238MaRDI QIDQ2656905

Ayesha Asloob Qureshi, Viviana Ene, Francesco Romeo, Jürgen Herzog

Publication date: 17 March 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08189

zbMATH Keywords

2-minors of a matrixinner minorsideal of \(t\)-minors

Mathematics Subject Classification ID

Determinantal varieties (14M12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40)

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Hilbert series of parallelogram polyominoes ⋮ Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ The \(h\)-polynomial and the rook polynomial of some polyominoes ⋮ Hilbert series of simple thin polyominoes ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes

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