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Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics
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This note reports some advances in the Equivariant Minimal Model Program (EMMP) for non-isomorphic surjective endomorphisms and their applications in complex and arithmetic dynamics.
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Cited by 4 Pith papers
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On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms
A smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int-amplified endomorphism.
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Numerical action for endomorphisms
The spectrum of the pullback action on the big and ample divisor cones is exactly the cohomological Lyapunov exponents of the map and of its periodic subvarieties.
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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 expecte...
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Dynamical Iitaka theory on Fano contractions
The Kawaguchi-Silverman conjecture is proved for projective bundles over abelian varieties or smooth projective varieties of Picard number one, via new structure theorems for endomorphisms of Fano contractions.
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