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arxiv: 1411.1661 · v2 · pith:HQNJCLQPnew · submitted 2014-11-06 · 🧮 math.AG · math.OC

Definite Determinantal Representations of Ternary Hyperbolic Forms

classification 🧮 math.AG math.OC
keywords definitedeterminantalhyperbolicadmitsalgebraiccompletelyeveryforms
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We give a new and completely algebraic proof of the Helton-Vinnikov Theorem stating that every hyperbolic polynomial in three variables admits a definite linear determinantal representation.

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