Hilbert’s theorem on positive ternary quartics: A refined analysis

DOI10.1090/S1056-3911-09-00538-4zbMath1195.14074MaRDI QIDQ3558025

Claus Scheiderer

Publication date: 29 April 2010

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

quadratic formsquartic polynomials

Mathematics Subject Classification ID

Real algebraic sets (14P05) Polynomials (irreducibility, etc.) (11R09)

Related Items (3)

An elementary proof of Hilbert's theorem on ternary quartics ⋮ Sums of squares of polynomials with rational coefficients ⋮ A proof of Hilbert's theorem on ternary quartic forms

Cites Work

• Einfache Kurvensingularitäten und torsionsfreie Moduln
• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications
• Even sets of nodes are bundle symmetric
• A new approach to Hilbert's theorem on ternary quartics
• Sums of Squares of Polynomials
• Ideals defined by matrices and a certain complex associated with them
• Theta-Characteristics on Algebraic Curves
• Is every quartic a conic of conics?
• THE TOPOLOGY OF REAL PROJECTIVE ALGEBRAIC VARIETIES
• Theta-characteristics on singular curves
• Determinantal hypersurfaces.
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