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A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial

Published 19 Jun 2013 in math.AG | (1306.4483v2)

Abstract: The specialized V\'amos polynomial is a hyperbolic polynomial of degree four in four variables with the property that none of its powers admits a definite determinantal representation. We will use a heuristical method to prove that its hyperbolicity cone is a spectrahedron.

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