Good reduction and Shafarevich-type theorems for dynamical systems with portrait level structures

DOI10.2140/pjm.2018.295.145zbMath1396.37097arXiv1703.00823OpenAlexW3099509977MaRDI QIDQ1708454

Joseph H. Silverman

Publication date: 23 March 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00823

zbMATH Keywords

good reductionShafarevich conjecture

Mathematics Subject Classification ID

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

Related Items (3)

Moduli spaces for dynamical systems with portraits ⋮ Dynamical modular curves for quadratic polynomial maps ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• A Shafarevich-Faltings theorem for rational functions
• Finiteness theorems for abelian varieties over number fields.
• The Magma algebra system. I: The user language
• On some notions of good reduction for endomorphisms of the projective line
• The space of rational maps on \(\mathbf P^1\)
• Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields
• Preperiodic portraits for unicritical polynomials
• A dynamical Shafarevich theorem for twists of rational morphisms
• Approximability of dynamical systems between trees of spheres
• The space of morphisms on projective space
• Prime factors of dynamical sequences
• The Arithmetic of Elliptic Curves
• Geometry and Dynamics of Quadratic Rational Maps
• Preperiodic portraits for unicritical polynomials over a rational function field
• Critically separable rational maps in families
• Portraits of preperiodic points for rational maps
• On quadratic rational maps with prescribed good reduction
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