A noncommutative polynomial with infinitely many factoring scalar fibers must be a univariate composition p(h), and this characterizes eigenlevel set inclusion and local quasiconvexity.
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Free Bertini's theorem and applications
A noncommutative polynomial with infinitely many factoring scalar fibers must be a univariate composition p(h), and this characterizes eigenlevel set inclusion and local quasiconvexity.