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PreprintarXiv licencearXiv

A classification of nearly Gorenstein monomial ideals

  • Sora Miyashita
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Abstract

We classify nearly Gorenstein monomial ideals over an arbitrary field. In dimension zero, we compute the canonical trace ideal using a graph on the socle monomials. In positive dimension, we prove a dimension bound under unmixedness and a connectedness condition, with weaker assumptions on the canonical trace ideal.

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Cite

BibTeXRIS
BibTeX
@misc{miyashita2026classification,
  title = {{A classification of nearly Gorenstein monomial ideals}},
  author = {Sora Miyashita},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2608.15955},
  eprint = {2608.15955},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.15955},
}
RIS
TY  - UNPB
TI  - A classification of nearly Gorenstein monomial ideals
AU  - Sora Miyashita
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2608.15955
UR  - https://arxiv.org/abs/2608.15955
AB  - We classify nearly Gorenstein monomial ideals over an arbitrary field. In dimension zero, we compute the canonical trace ideal using a graph on the socle monomials. In positive dimension, we prove a dimension bound under unmixedness and a connectedness condition, with weaker assumptions on the canonical trace ideal.
ER  -