Exact values of generic subrank
Algebraic Geometry
2024-08-15 v1 Computational Complexity
Abstract
In this article we prove the subrank of a generic tensor in to be by providing a lower bound to the known upper bound. More generally, we find the generic subrank of tensors of all orders and dimensions. This answers two open questions posed in arXiv:2205.15168v2. Finally, we compute dimensions of varieties of tensors of subrank at least .
Keywords
Cite
@article{arxiv.2408.07550,
title = {Exact values of generic subrank},
author = {Paweł Pielasa and Matouš Šafránek and Anatoli Shatsila},
journal= {arXiv preprint arXiv:2408.07550},
year = {2024}
}
Comments
14 pages, comments welcome!