Properties of the coordinate ring of a convex polyomino
Commutative Algebra
2018-03-13 v1
Abstract
We classify all convex polyomino whose coordinate rings are Gorenstein. We also compute the Castelnuovo-Mumford regularity of the coordinate ring of any stack polyomino in terms of the smallest interval which contains its vertices. We give a recursive formula for computing the multiplicity of a stack polyomino.
Keywords
Cite
@article{arxiv.1803.03801,
title = {Properties of the coordinate ring of a convex polyomino},
author = {Claudia Andrei},
journal= {arXiv preprint arXiv:1803.03801},
year = {2018}
}