The moduli space of quadratic rational maps

DOI10.1090/S0894-0347-06-00527-3zbMath1158.37020arXivmath/0412438OpenAlexW1537879209MaRDI QIDQ3420411

Laura DeMarco

Publication date: 2 February 2007

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412438

zbMATH Keywords

entropycompactificationgeometric invariant theorymoduli spacesrational mapscomplex dynamical systemsgroup actions on varieties

Mathematics Subject Classification ID

Related Items (22)

Quadratic rational maps with a 2-cycle of Siegel disks ⋮ On the geometry of bifurcation currents for quadratic rational maps ⋮ Dynamically distinguishing polynomials ⋮ Bounded hyperbolic components of bicritical rational maps ⋮ A compactification of the moduli space of self-maps of $\mathbb {CP}^1$ via stable maps ⋮ Indeterminacy loci of iterate maps in moduli space ⋮ Moduli spaces for dynamical systems with portraits ⋮ Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Dynamical systems of correspondences on the projective line I: Moduli spaces and multiplier maps ⋮ Quasi-adelic measures and equidistribution on ⋮ Berkovich dynamics of Newton maps ⋮ Multipliers and invariants of endomorphisms of projective space in dimension greater than 1 ⋮ Rescaling limits in non-Archimedean dynamics ⋮ Puiseux series dynamics of quadratic rational maps ⋮ Bicritical rational maps: Dynamical limits and ideal limit points of periodmcurves ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Limits of rational maps, \(\mathbb{R}\)-trees and barycentric extension ⋮ Rationality of dynamical canonical height ⋮ Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces ⋮ Rescaling limits of complex rational maps ⋮ DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS

Cites Work

• Iteration at the boundary of the space of rational maps
• A compactification of Hénon mappings in \({\mathbb{C}}^2\) as dynamical systems
• Conformally natural extension of homeomorphisms of the circle
• The space of rational maps on \(\mathbf P^1\)
• An invariant measure for rational maps
• Geometric Invariant Theory
• Geometry and Dynamics of Quadratic Rational Maps
• Bounded hyperbolic components of quadratic rational maps
• Unnamed Item
• Unnamed Item

This page was built for publication: The moduli space of quadratic rational maps