Properties of the coordinate ring of a convex polyomino

Claudia Andrei

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arXiv · 1803.03801

Properties of the coordinate ring of a convex polyomino

Claudia Andrei

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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.

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BibTeX RIS

Claudia Andrei. 2018-03-10. Properties of the coordinate ring of a convex polyomino. https://arxiv.org/abs/1803.03801

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