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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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | March 29, 2023 |
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Deposited | December 01, 2023 |
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