Holomorphic motions and structural stability of polynomial automorphisms of \mathbf{C}^{2}

DOI10.1512/iumj.2008.57.3252zbMath1147.37029OpenAlexW7955538MaRDI QIDQ5460076

Adrian Jenkins, Gregery T. Buzzard

Publication date: 2 May 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3252

zbMATH Keywords

polynomial automorphismsgraph transformholomorphic motionsBers-Royden extensioncomplex two-dimensional mapsRobinson's stable-unstable disks

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Generic properties, structural stability of dynamical systems (37C20)

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Robust non-hyperbolic fibred quadratic polynomial dynamics

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