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Title
Rigidity of rationally connected smooth projective varieties from dynamical viewpoints
KIAS Author
Meng, Sheng
Journal
MATHEMATICAL RESEARCH LETTERS, 2023
Archive
2005.03983
Abstract
Let X be a rationally connected smooth projective variety of dimension n. We show that X is a toric variety if and only if X admits an int-amplified endomorphism with totally invariant ramification divisor. We also show that X ti= (P1)xnif and only if X admits a surjective endomorphism f such that the eigenvalues of f*|N1(X) (without counting multiplicities) are n distinct real numbers greater than 1.