About the linearization of certain subgroups of polynomial diffeomorphisms of the plane and the envelopes of holomorphy

DOI10.1007/BF02922040zbMath1042.32003MaRDI QIDQ1608528

Jean-Jacques Loeb, Dominique Cerveau

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

linearizationhyperbolicitypolynomial automorphisms

Mathematics Subject Classification ID

Envelopes of holomorphy (32D10)

Cites Work

• Analytic automorphisms and algebraic automorphisms of \(\mathbb{C}^2\)
• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
• The local linearization problem for smooth \(SL(n)\)-actions
• Polynomial flows in the plane: A classification based on spectra of derivations
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Dynamical properties of plane polynomial automorphisms
• Complex Retractions and Envelopes of Holomorphy
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
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