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PreprintCC BY 4.0arXiv

The v-number of powers of ideals associated with chessboard complexes

  • Wenjie Huo
  • Guangjun Zhu
  • Jiaxin Li
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Abstract

We study the v-numbers of ordinary and symbolic powers of the facet ideal and the Stanley--Reisner ideal of a chessboard complex. Exact formulas are established for the v-numbers of ordinary and symbolic powers of the Stanley--Reisner ideal, as well as symbolic powers of the facet ideal. Furthermore, we show that the v-number function of the ordinary powers is asymptotically linear.

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Cite

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BibTeX
@misc{huo2026vnumber,
  title = {{The $\mathrmv$-number of powers of ideals associated with chessboard complexes}},
  author = {Wenjie Huo and Guangjun Zhu and Jiaxin Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37112},
  eprint = {2609.37112},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37112},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The v-number of powers of ideals associated with chessboard complexes
AU  - Wenjie Huo
AU  - Guangjun Zhu
AU  - Jiaxin Li
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37112
UR  - https://arxiv.org/abs/2609.37112
AB  - We study the v-numbers of ordinary and symbolic powers of the facet ideal and the Stanley--Reisner ideal of a chessboard complex. Exact formulas are established for the v-numbers of ordinary and symbolic powers of the Stanley--Reisner ideal, as well as symbolic powers of the facet ideal. Furthermore, we show that the v-number function of the ordinary powers is asymptotically linear.
ER  -