Minimal models for rational functions in a dynamical setting

DOI10.1112/S1461157012001131zbMath1300.37051arXiv1204.4967MaRDI QIDQ5169649

Alexander Molnar, Nils Bruin

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4967

zbMATH Keywords

rational functionsminimal modelsfractional linear transformationsSzpiro's conjecture

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (5)

Semi-stable reduction implies minimality of the resultant ⋮ Smallest representatives of $\rm {SL}(2,\mathbb {Z})$-orbits of binary forms and endomorphisms of $\mathbb {P}^1$ ⋮ Current trends and open problems in arithmetic dynamics ⋮ The minimal resultant locus ⋮ Global minimal models for endomorphisms of projective space

Uses Software

• Cython

Cites Work

• Integer points, diophantine approximation, and iteration of rational maps
• The Magma algebra system. I: The user language
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On the Lattice Points on Curves of Genus 1
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