Degenerations of complex dynamical systems. II: Analytic and algebraic stability

DOI10.1007/s00208-015-1331-8zbMath1343.37089arXiv1309.7103OpenAlexW2271460482MaRDI QIDQ303633

Laura DeMarco, Xander Faber

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7103

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Dynamical systems on Berkovich spaces (37P50)

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Rational surface maps with invariant meromorphic two-forms ⋮ Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ Berkovich dynamics of Newton maps ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Non-archimedean connected Julia sets with branching ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents ⋮ Dynamical uniform boundedness and the \(abc\)-conjecture ⋮ Rationality of dynamical canonical height ⋮ Common preperiodic points for quadratic polynomials ⋮ DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS

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