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arXiv · 1809.08351

Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams

Kuei-Nuan Lin·Yi-Huang Shen
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Abstract

We investigate the Castelnuovo-Mumford regularity and the multiplicity of the toric ring associated with a three-dimensional Ferrers diagram. In particular, in the rectangular case, we provide direct formulas for these two important invariants. Then, we compare these invariants for an accompanying pair of Ferrers diagrams under some mild conditions and bound the Castelnuovo-Mumford regularity for more general cases.

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Kuei-Nuan Lin, Yi-Huang Shen. 2018-09-22. Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams. https://arxiv.org/abs/1809.08351

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