Periodic points for good reduction maps on curves

Details Periodic points for good reduction maps on curves Periodic points for good reduction maps on curves

2003-07-08

arxiv.org/abs/math/0307089v1

Geometriae Dedicata, 106, 29-41, 2004

Mathematics

Dynamical Systems

Scientific paper

10.1023/B:GEOM.0000033838.15992.

The periodic points of a morphism of good reduction for a smooth projective
curve with good reduction over the p-adics form a discrete set. This is used to
give an interpretation of the morphic height in terms of asymptotic properties
of periodic points, and a morphic analogue of Jensen's formula.

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