No short polynomials vanish on bounded rank matrices

DOI10.1112/blms.12819arXiv2112.11764OpenAlexW4321789020MaRDI QIDQ6096830

Unnamed Author, Jan Draisma, Thomas Kahle

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11764

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Determinantal varieties (14M12) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Cites Work

• Unnamed Item
• Théoremes de Bertini et applications
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• A property deducible from the generic initial ideal
• Gröbner bases and Stanley decompositions of determinantal ideals
• Binomial ideals
• Binomiality testing and computing sparse polynomials via witness sets
• Finding binomials in polynomial ideals
• Computing Sparse Multiples of Polynomials
• Randomness efficient identity testing of multivariate polynomials

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