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- W2897554662 abstract "In this paper we study arithmetic properties of a one-parameter family ${mathbf H}$ of Henon maps over the affine line. Given a family of initial points ${mathbf P}$ satisfying a natural condition, we show the height function $h_{mathbf P}$ associated to ${mathbf H}$ and ${mathbf P}$ is the restriction of the height function associated to a semipositive adelically metrized line bundle on projective line. We then show various local properties of $h_{mathbf P}$. Next we consider the set $Sigma({mathbf P})$ consisting of periodic parameter values, and study when $Sigma({mathbf P})$ is an infinite set or not. We also study unlikely intersections of periodic parameter values." @default.
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- W2897554662 date "2018-10-09" @default.
- W2897554662 modified "2023-09-27" @default.
- W2897554662 title "Heights and periodic points for one-parameter families of Hénon maps" @default.
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