The residual index and the dynamics of holomorphic maps tangent to the identity
DOI10.1215/S0012-7094-01-10719-9zbMath1015.37035OpenAlexW2011794073MaRDI QIDQ1847818
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10719-9
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Singularities of holomorphic vector fields and foliations (32S65) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)
Related Items (38)
Cites Work
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- Attracting basins for automorphisms of \(\mathbb{C}^2\)
- Invariant varieties through singularities of holomorphic vector fields
- Singularities of vector fields on the plane
- Complex dynamics
- A short proof of a theorem of Camacho and Sad
- Germs of holomorphic vector fields in \(\mathbb{C}^ 3\) without a separatrix
- Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
- Holonomie et intégrales premières
- Diagonalization of nondiagonalizable discrete holomorphic dynamical systems
- Reduction of Singularities of the Differential Equation Ady = Bdx
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