Periodic points for good reduction maps on curves

Manfred Einsiedler; Graham Everest; Thomas Ward

doi:10.1023/B:GEOM.0000033838.15992.72

Periodic points for good reduction maps on curves

Manfred Einsiedler, Graham Everest, Thomas Ward

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the algebraic closure of Qpform 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.

Original language	English
Pages (from-to)	29-41
Number of pages	13
Journal	Geometriae Dedicata
Volume	106
Issue number	1
DOIs	https://doi.org/10.1023/B:GEOM.0000033838.15992.72
Publication status	Published - 2004

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10.1023/B:GEOM.0000033838.15992.72

Cite this

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title = "Periodic points for good reduction maps on curves",

abstract = "The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the algebraic closure of Qpform 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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AB - The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the algebraic closure of Qpform 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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DO - 10.1023/B:GEOM.0000033838.15992.72

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EP - 41

JO - Geometriae Dedicata

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