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  "path": "/abs/2603.07173v1",
  "publishedAt": "2026-03-10T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Qiyuan Chen"
  ],
  "textContent": "**Authors:** Qiyuan Chen\n\nThe main contribution of this note is to establish a framework to extend results of tensor functions over specific field to general field. As a consequence of this framework, we extend the existing work to more general settings: \\emph{(1)} slice rank is linearly bounded by geometric rank for any 3-tensors over any field. \\emph{(2)} slice rank of any 3-tensors is quasi-supermultiplicative. As a consequence, the asymptotic slice rank exists for any 3-tensors.",
  "title": "A base change framework for tensor functions"
}