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PreprintCC BY-NC-ND 4.0arXiv

New conjectures on multiplicities of tensor eigenvalues

  • Stefano Canino
  • Cosimo Flavi
  • Francesco Galuppi
  • Yuze Luan
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Abstract

We work on two conjectures on tensor eigenvalue multiplicities. By using the language of algebraic geometry we give stronger, more refined versions of the conjectures and we prove them in many new cases, notably for all 2× 2×…× 2 tensors. We also establish a connection between the rank of a tensor and the multiplicities of the zero eigenvalue.

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Cite

BibTeXRIS
BibTeX
@misc{canino2026conjectures,
  title = {{New conjectures on multiplicities of tensor eigenvalues}},
  author = {Stefano Canino and Cosimo Flavi and Francesco Galuppi and Yuze Luan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.21422},
  eprint = {2607.21422},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.21422},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - New conjectures on multiplicities of tensor eigenvalues
AU  - Stefano Canino
AU  - Cosimo Flavi
AU  - Francesco Galuppi
AU  - Yuze Luan
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2607.21422
UR  - https://arxiv.org/abs/2607.21422
AB  - We work on two conjectures on tensor eigenvalue multiplicities. By using the language of algebraic geometry we give stronger, more refined versions of the conjectures and we prove them in many new cases, notably for all 2× 2×…× 2 tensors. We also establish a connection between the rank of a tensor and the multiplicities of the zero eigenvalue.
ER  -