Smallest representatives of $\rm {SL}(2,\mathbb {Z})$-orbits of binary forms and endomorphisms of $\mathbb {P}^1$

DOI10.4064/aa180618-9-12zbMath1419.37091arXiv1805.08579OpenAlexW3125102715MaRDI QIDQ5226452

Benjamin Hutz, Michael Stoll

Publication date: 31 July 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08579

zbMATH Keywords

binary formdynamical systemreduced modelminimal model

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Polynomials in number theory (11C08) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (1)

Algebraic Number Starscapes

Uses Software

• Magma
• SageMath

Cites Work

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• Reduction theory of point clusters in projective space
• The Magma algebra system. I: The user language
• The field of definition for dynamical systems on P^N
• The space of morphisms on projective space
• A Finiteness Result for Post-critically Finite Polynomials
• Geometry and Dynamics of Quadratic Rational Maps
• On the reduction theory of binary forms
• Minimal models for rational functions in a dynamical setting
• The minimal resultant locus
• Determination of all rational preperiodic points for morphisms of PN
• SAGE

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