Preprint in the OpenAI Math release
A nonspectrahedral hyperbolicity cone
OpenAI
Abstract
We construct a homogeneous polynomial of degree 16 in 23 real variables whose hyperbolicity cone has no representation by a finite homogeneous real symmetric linear matrix inequality. This disproves the geometric Generalized Lax conjecture.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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