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The folklore conjecture on endomorphisms of Fano manifolds of Picard number 1
Folklore conjecture. If $X$ admits a non-isomorphic surjective endomorphism, then $X$ is a projective space.
Conjectureopendynamical-rigidity endomorphisms fano-manifoldsarXiv posted 2 days ago

The folklore conjecture on endomorphisms of Fano manifolds of Picard number 1