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The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials

Mario Kummer, Tim Netzer

Source record

Source: arXiv

Published: Sep 21, 2026

arXiv: 2609.24542

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Source abstract

We report a proof found by an artificial intelligence system for the following statement: The hyperbolicity cone of every strictly hyperbolic polynomial is spectrahedral. This establishes the generalized Lax conjecture for the generic case, while the full conjecture remains open.

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The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials — Mathematical Frontier Network