Do Sums of Squares Dream of Free Resolutions?
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Publication:5347299
DOI10.1137/16M1084560zbMath1401.14225arXiv1607.03551MaRDI QIDQ5347299
Rainer Sinn, Mauricio Velasco, Grigoriy Blekherman
Publication date: 23 May 2017
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.03551
Real algebraic sets (14P05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Syzygies, resolutions, complexes and commutative rings (13D02) General convexity (52A99)
Related Items (9)
Sums of squares and quadratic persistence on real projective varieties ⋮ Sum of squares decomposition of positive polynomials with rational coefficients ⋮ On the Lefschetz property for quotients by monomial ideals containing squares of variables ⋮ Terracini convexity ⋮ Harmonic Hierarchies for Polynomial Optimization ⋮ Maximum likelihood threshold and generic completion rank of graphs ⋮ Memory-Efficient Structured Convex Optimization via Extreme Point Sampling ⋮ Sums of Squares and Sparse Semidefinite Programming ⋮ Limitations on the Expressive Power of Convex Cones without Long Chains of Faces
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