On the algebraic boundaries among typical ranks for real binary forms

DOI10.1016/j.laa.2018.07.036zbMath1397.15021arXiv1804.08309OpenAlexW2798378484WikidataQ129432035 ScholiaQ129432035MaRDI QIDQ1790480

Maria Chiara Brambilla, Giovanni Staglianò

Publication date: 2 October 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08309

zbMATH Keywords

binary formWaring problemreal rootstypical rankcoincident root locusreal rank boundary

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) General binary quadratic forms (11E16)

Related Items (2)

Labels of real projective varieties ⋮ Algebraic boundaries among typical ranks for real binary forms of arbitrary degree

Uses Software

• Macaulay2
• QEPCAD
• Cremona
• Resultants
• CoincidentRootLoci

Cites Work

• Unnamed Item
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• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• On real typical ranks
• Typical real ranks of binary forms
• Real rank geometry of ternary forms
• On the real rank of monomials
• Discriminants, resultants, and multidimensional determinants
• On the typical rank of real binary forms
• Real identifiability vs. complex identifiability
• QEPCAD B

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