Periodic points for good reduction maps on curves
classification
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math.AGmath.NT
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goodperiodicpointsreductionmorphicanalogueasymptoticcurve
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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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