Browsing by Author "Ranestad, Kristian"

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  • Algebraic boundaries of Hilbert's SOS cones 

    Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd (Cambridge University PressCompositio Mathematica, 2012-10-15)
    We study the geometry underlying the difference between nonnegative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary quartics are shown to be ...