Countably many asymptotic tensor ranks

Blatter, Andreas; Draisma, Jan; Rupniewski, Filip (2024). Countably many asymptotic tensor ranks. Linear and multilinear algebra Taylor & Francis 10.1080/03081087.2024.2317906

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In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic subrank of some complex tensor is countable. In this short note we settle this question in the affirmative, for all tensor invariants that are algebraic in the sense that they are invariant under field automorphisms of the complex numbers.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Blatter, Andreas, Draisma, Jan, Rupniewski, Filip Arkadiusz

Subjects:

500 Science > 510 Mathematics

ISSN:

0308-1087

Publisher:

Taylor & Francis

Language:

English

Submitter:

Zarif Ibragimov

Date Deposited:

27 Mar 2024 15:18

Last Modified:

27 Mar 2024 15:18

Publisher DOI:

10.1080/03081087.2024.2317906

BORIS DOI:

10.48350/194650

URI:

https://boris.unibe.ch/id/eprint/194650

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