The moduli space of quadratic rational maps
From MaRDI portal
Publication:3420411
DOI10.1090/S0894-0347-06-00527-3zbMath1158.37020arXivmath/0412438OpenAlexW1537879209MaRDI QIDQ3420411
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
entropycompactificationgeometric invariant theorymoduli spacesrational mapscomplex dynamical systemsgroup actions on varieties
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
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