Complex dynamics and invariant forms mod p

Details Complex dynamics and invariant forms mod p Complex dynamics and invariant forms mod p

2005-05-02

arxiv.org/abs/math/0505037v2

Mathematics

Number Theory

revised version to appear in IMRN

Scientific paper

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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