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PreprintarXiv licencearXiv

Ideals of 2-minors of nearly determinantal matrices

  • Takayuki Hibi
  • Francesco Navarra
  • Ayesha Asloob Qureshi
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Abstract

We introduce nearly determinantal matrices and study their ideals of $2$-minors. We classify nearly determinantal matrices whose ideals of $2$-minors are prime. Furthermore, we characterize those nearly determinantal matrices whose ideals of $2$-minors are prime and Cohen--Macaulay with linear resolutions.

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Cite

BibTeXRIS
BibTeX
@misc{hibi2026ideals,
  title = {{Ideals of 2-minors of nearly determinantal matrices}},
  author = {Takayuki Hibi and Francesco Navarra and Ayesha Asloob Qureshi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06571},
  eprint = {2611.06571},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06571},
}
RIS
TY  - UNPB
TI  - Ideals of 2-minors of nearly determinantal matrices
AU  - Takayuki Hibi
AU  - Francesco Navarra
AU  - Ayesha Asloob Qureshi
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06571
UR  - https://arxiv.org/abs/2611.06571
AB  - We introduce nearly determinantal matrices and study their ideals of $2$-minors. We classify nearly determinantal matrices whose ideals of $2$-minors are prime. Furthermore, we characterize those nearly determinantal matrices whose ideals of $2$-minors are prime and Cohen--Macaulay with linear resolutions.
ER  -