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

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.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10801-023-01217-7

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Work Title Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams
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Open Access
Creators
  1. Kuei-Nuan Lin
  2. Yi-Huang Shen
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Journal of Algebraic Combinatorics
Publication Date March 29, 2023
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  1. https://doi.org/10.1007/s10801-023-01217-7
Deposited December 01, 2023

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