Sharp degree bounds for sum-of-squares certificates on projective curves

DOI10.1016/j.matpur.2018.12.010zbMath1441.14189arXiv1605.08330OpenAlexW3103368224WikidataQ128767287 ScholiaQ128767287MaRDI QIDQ2274017

Grigoriy Blekherman, Gregory G. Smith, Mauricio Velasco

Publication date: 19 September 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08330

zbMATH Keywords

sums of squaresreal algebraic geometrysurfaces of minimal degreespecial curves

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Special algebraic curves and curves of low genus (14H45)

Related Items (3)

Positivity certificates and polynomial optimization on non-compact semialgebraic sets ⋮ Approximate super-resolution of positive measures in all dimensions ⋮ Harmonic Hierarchies for Polynomial Optimization

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