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Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree

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Publication:5233831
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DOI10.1093/imrn/rnx113zbMath1439.14167arXiv1606.04387OpenAlexW2964027626MaRDI QIDQ5233831

Rainer Sinn, Daniel Plaumann, Cynthia Vinzant, Grigoriy Blekherman

Publication date: 9 September 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04387



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) Semialgebraic sets and related spaces (14P10)


Related Items (8)

Sums of squares and quadratic persistence on real projective varieties ⋮ Extreme points of Gram spectrahedra of binary forms ⋮ Positive semidefinite univariate matrix polynomials ⋮ Do Sums of Squares Dream of Free Resolutions? ⋮ Low-Rank Univariate Sum of Squares Has No Spurious Local Minima ⋮ Gram spectrahedra ⋮ A Linear-algebraic Proof of Hilbert’s Ternary Quartic Theorem ⋮ Symmetry Adapted Gram Spectrahedra




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