The numerical spectrum of an endomorphism determines the cohomological spectrum: for every even cohomological degree the spectral radii agree, and polarized endomorphisms have all cohomology eigenvalues of the expected absolute value.
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Numerical spectrums control Cohomological spectrums
The numerical spectrum of an endomorphism determines the cohomological spectrum: for every even cohomological degree the spectral radii agree, and polarized endomorphisms have all cohomology eigenvalues of the expected absolute value.