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arXiv · 2307.11245

The Geometric Dynamical Northcott Property in the quadratic family

Thomas Gauthier·Gabriel Vigny
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Abstract

The aim of this note is to give a proof of Theorem A from our work on the geometric Northcott property in the simpler case of the quadratic family; being in dimension $1$ in both the dynamical space and the parameter space, and having a simple and explicit parametrization of the family allow to simplify the proof and, we hope, make the ideas more apparent.

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Thomas Gauthier, Gabriel Vigny. 2023-07-20. The Geometric Dynamical Northcott Property in the quadratic family. https://arxiv.org/abs/2307.11245

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