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Growth of local height functions along orbits of self-morphisms on projective varieties , author=

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Local height arguments toward the dynamical Mordell-Lang conjecture

math.DS · 2026-05-12 · unverdicted · novelty 6.0

Under the condition that the degree gap k exceeds twice the maximum multiplicity of the induced map at infinity at its periodic points, such endomorphisms have only vertical lines as periodic curves and obey the dynamical Mordell-Lang conjecture for curves.

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  • Local height arguments toward the dynamical Mordell-Lang conjecture math.DS · 2026-05-12 · unverdicted · none · ref 12

    Under the condition that the degree gap k exceeds twice the maximum multiplicity of the induced map at infinity at its periodic points, such endomorphisms have only vertical lines as periodic curves and obey the dynamical Mordell-Lang conjecture for curves.