Pith. sign in

REVIEW 1 cited by

Countably many asymptotic tensor ranks

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2212.12219 v1 pith:6I4ECHTB submitted 2022-12-23 math.AG cs.CC

Andreas Blatter , Jan Draisma , Filip Rupniewski This is my paper · ORCID
classification math.AGcs.CC
keywords asymptoticcomplextensornumbersquestionaffirmativealgebraicarise
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Asymptotic tensor rank is characterized by polynomials

    cs.CC 2024-11 conditional novelty 8.0 of 10

    Sublevel sets of asymptotic tensor rank are Zariski-closed, making the parameter well-ordered in value, complete over the complex numbers, and computable from above.

Pith tools