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

Kuei Nuan Lin, Yi Huang Shen

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1073-1101
Number of pages29
JournalJournal of Algebraic Combinatorics
Issue number4
StatePublished - Jun 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

Cite this