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arXiv · 2609.24542

The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials

Mario Kummer·Tim Netzer
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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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Mario Kummer, Tim Netzer. 2026-09-21. The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials. https://arxiv.org/abs/2609.24542

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