Kawaguchi-Silverman conjecture is proved for all projective surfaces and for rationally connected smooth threefolds with an int-amplified endomorphism.
Debarre, Higher-dimensional algebraic geometry, Universite xt
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Kawaguchi-Silverman conjecture for certain surjective endomorphisms
Kawaguchi-Silverman conjecture is proved for all projective surfaces and for rationally connected smooth threefolds with an int-amplified endomorphism.