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arXiv math/0505037math.NTmath.DS
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Complex dynamics and invariant forms mod p

Alexandru Buium

英文摘要:

Complex dynamical systems on the Riemann sphere do not possess ``invariant forms''. However there exist non-trivial examples of dynamical systems, defined over number fields, satisfying the property that their reduction modulo $\wp$ possesses ``invariant forms'' for all but finitely many places $\wp$. The paper completely characterizes those dynamical systems possessing the latter property.

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