A proof of Hilbert's theorem on ternary quartic forms

DOI10.7153/jmi-2019-13-71zbMath1442.11068OpenAlexW3002202028WikidataQ126305669 ScholiaQ126305669MaRDI QIDQ5217463

Yong Yao, Jia Xu

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-71

zbMATH Keywords

sum of squarespositive semi-definiteHilbert's theoremternary quartic formsladder technique

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Real algebraic sets (14P05)

Related Items (1)

Real zeros of SONC polynomials

Cites Work

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• Extremal positive semidefinite forms
• Multipolynomial resultant algorithms
• Solving zero-dimensional systems through the rational univariate representation
• Semidefinite programming relaxations for semialgebraic problems
• A new approach to Hilbert's theorem on ternary quartics
• An elementary proof of Hilbert's theorem on ternary quartics
• Hilbert’s theorem on positive ternary quartics: A refined analysis

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