Geodesic
Algebraic properties of the coordinate ring of a convex polyomino
Claudia Andrei1
1University of Bucharest
The electronic journal of combinatorics, Tome 28 (2021) no. 1

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Zbl DOI arXiv
We classify all convex polyominoes whose coordinate rings are Gorenstein. We also give an upper bound for the Castelnuovo-Mumford regularity of the coordinate ring of any convex polyomino in terms of the smallest interval which contains its vertices. We give a recursive formula for computing the multiplicity of a stack polyomino.
DOI : 10.37236/7728
Classification : 05B50, 05E40, 52A99, 13H10, 13P10
Mots-clés : stack polyominoes, one-sided ladders, 2-sided ladders, Castelnuovo-Mumford regularity

Claudia Andrei  1

1 University of Bucharest 
Claudia Andrei. Algebraic properties of the coordinate ring of a convex polyomino. The electronic journal of combinatorics, Tome 28 (2021) no. 1. doi: 10.37236/7728
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     title = {Algebraic properties of the coordinate ring of a convex polyomino},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {1},
     doi = {10.37236/7728},
     zbl = {1459.05039},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7728/}
}
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