The moduli space of polynomial maps and their fixed-point multipliers

DOI10.1016/j.aim.2017.10.013zbMath1392.37040arXiv0708.2512OpenAlexW2281280773MaRDI QIDQ1678139

Toshi Sugiyama

Publication date: 14 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2512

zbMATH Keywords

moduli spaceintersection multiplicityBezout's theoremfinite branched coveringfixed-point multiplier

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Algebraic moduli problems, moduli of vector bundles (14D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

The moduli space of polynomial maps and their fixed-point multipliers: II. Improvement to the algorithm and monic centered polynomials ⋮ Dynamical systems of correspondences on the projective line I: Moduli spaces and multiplier maps ⋮ Multipliers and invariants of endomorphisms of projective space in dimension greater than 1

Cites Work

• The moduli space of rational maps and surjectivity of multiplier representation
• Families of rational maps and iterative root-finding algorithms
• The space of rational maps on \(\mathbf P^1\)
• Algebraic independence of multipliers of periodic orbits in the space of rational maps of the Riemann sphere
• Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable
• Multiplier Spectra and the Moduli Space of Degree 3 Morphisms on P1
• A compactification of the moduli space of polynomials
• Geometry and Dynamics of Quadratic Rational Maps
• Trees and the dynamics of polynomials
• Dynamics in One Complex Variable. (AM-160)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The moduli space of polynomial maps and their fixed-point multipliers