Morphic Heights and Periodic Points
نویسنده
چکیده
An approach to the calculation of local canonical morphic heights is described, motivated by the analogy between the classical height in Diophantine geometry and entropy in algebraic dynamics. We consider cases where the local morphic height is expressed as an integral average of the logarithmic distance to the closure of the periodic points of the underlying morphism. The results may be thought of as a kind of morphic Jensen formula.
منابع مشابه
Periodic Points for Good Reduction Maps on Curves *
The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over Q p 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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