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math.AG2026
The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials
Mario Kummer, Tim Netzer
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 esta…
math.AG2025
Periodic Hypersurfaces and Lee-Yang Polynomials
Lior Alon, Mario Kummer
We study periodic measures on whose Fourier transform is confined to a proper double cone, in the sense of Meyer's notion of lighthouse measures. Lee--Yang polynomia…