Critically separable rational maps in families

DOI10.1112/S0010437X12000346zbMath1302.37061arXiv1109.3226MaRDI QIDQ4911991

Clayton Petsche

Publication date: 20 March 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3226

zbMATH Keywords

elliptic curvesarithmetic dynamicsSzpiro's conjecturecritical discriminantcritically separable rational maps

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Dynamical systems over global ground fields (37P15) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (5)

A dynamical Shafarevich theorem for twists of rational morphisms ⋮ Good reduction and Shafarevich-type theorems for dynamical systems with portrait level structures ⋮ Current trends and open problems in arithmetic dynamics ⋮ On quadratic rational maps with prescribed good reduction ⋮ Global minimal models for endomorphisms of projective space

Cites Work

• Catalan numbers and branched coverings by the Riemann sphere
• A Shafarevich-Faltings theorem for rational functions
• Finiteness theorems for abelian varieties over number fields.
• The canonical height and integral points on elliptic curves
• Some finiteness properties of adele groups over number fields
• Arithmetic on curves
• Finiteness Theorems for Binary Forms with Given Discriminant

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