Exact values of generic subrank

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10513193" target="_blank" >RIV/00216208:11320/25:10513193 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=p46-RrBBz1" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=p46-RrBBz1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2025.110234" target="_blank" >10.1016/j.aim.2025.110234</a>

Result language
angličtina
Original language name
Exact values of generic subrank
Original language description
In this article we prove the subrank of a generic tensor in Cn,n,nto be Q(n) = left perpendiular root 3n - 2 right perpendicular 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 [5]. Finally, we compute dimensions of varieties of tensors of subrank at least r. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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