KAWA 2015: Dynamical moduli spaces and elliptic curves

zbMath1404.37047arXiv1607.04471MaRDI QIDQ4583156

Laura DeMarco

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1607.04471

zbMATH Keywords

postcritically finitecomplex dynamicsbifurcation locusdynamical moduli spaces

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) 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 (2)

Chromatic zeros on hierarchical lattices and equidistribution on parameter space ⋮ Post-critically finite maps on ℙⁿ for 𝕟≥2 are sparse

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Preperiodic points for families of polynomials
• The dynamical André-Oort conjecture: unicritical polynomials
• Preperiodic points and unlikely intersections
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• Torsion points on families of squares of elliptic curves
• Bifurcations, intersections, and heights
• Torsion anomalous points and families of elliptic curves
• Big line bundles over arithmetic varieties
• Courbes sur une variété abélienne et points de torsion
• Families of rational maps and iterative root-finding algorithms
• The iteration of cubic polynomials. I: The global topology of parameter space
• Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
• A proof of Thurston's topological characterization of rational functions
• Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
• The André-Oort conjecture for \(\mathcal A_g\)
• Equidistribution of small points, rational dynamics, and potential theory
• Invariant varieties for polynomial dynamical systems
• The supports of higher bifurcation currents
• Quantitative uniform distribution of points of small height on the projective line
• Bifurcation Currents in Holomorphic Families of Rational Maps
• SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• Higher bifurcation currents, neutral cycles and the Mandelbrot set
• Bifurcation currents and equidistribution on parameter space
• On the dynamics of rational maps
• Torsion points and the Lattès family
• Distribution of rational maps with a preperiodic critical point
• A finiteness theorem for canonical heights attached to rational maps over function fields
• The Arithmetic of Elliptic Curves
• Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire
• Geometry and Dynamics of Quadratic Rational Maps
• Classification of Special Curves in the Space of Cubic Polynomials
• A Dynamical Variant of the André-Oort Conjecture
• Complex Dynamics and Renormalization (AM-135)
• Strong bifurcation loci of full Hausdorff dimension
• Preperiodic points for families of rational maps
• Bifurcation measures and quadratic rational maps
• Mesures et équidistribution sur les espaces de Berkovich
• Dynamics in One Complex Variable. (AM-160)
• Dynamics of rational maps: A current on the bifurcation locus

This page was built for publication: KAWA 2015: Dynamical moduli spaces and elliptic curves