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PreprintCC BY 4.0arXiv

Waring rank of certain complete intersection forms

  • Meghana Bhat
  • Enrico Carlini
  • Shreedevi K. Masuti
  • Ronnie Sebastian
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Abstract

The complete intersection forms are the homogeneous polynomials whose annihilator ideal or the Macaulay dual, is an Artinian complete intersection ideal. In this paper, we compute the Waring rank of certain complete intersection forms. As an application, we compute the Waring rank of binomials whose annihilator is a complete intersection ideal. Further, we also compute the Waring rank of the product of binary forms in different sets of variables.

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Cite

BibTeXRIS
BibTeX
@misc{bhat2026waring,
  title = {{Waring rank of certain complete intersection forms}},
  author = {Meghana Bhat and Enrico Carlini and Shreedevi K. Masuti and Ronnie Sebastian},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18346},
  eprint = {2610.18346},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18346},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Waring rank of certain complete intersection forms
AU  - Meghana Bhat
AU  - Enrico Carlini
AU  - Shreedevi K. Masuti
AU  - Ronnie Sebastian
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18346
UR  - https://arxiv.org/abs/2610.18346
AB  - The complete intersection forms are the homogeneous polynomials whose annihilator ideal or the Macaulay dual, is an Artinian complete intersection ideal. In this paper, we compute the Waring rank of certain complete intersection forms. As an application, we compute the Waring rank of binomials whose annihilator is a complete intersection ideal. Further, we also compute the Waring rank of the product of binary forms in different sets of variables.
ER  -