RESIDUES FOR SINGULAR PAIRS AND DYNAMICS OF BIHOLOMORPHIC MAPS OF SINGULAR SURFACES

DOI10.1142/S0129167X04002375zbMath1057.37045MaRDI QIDQ4820969

Filippo Bracci, Tatsuo Suwa

Publication date: 1 October 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

residue formulaparabolic curveholomorphic selfmaps

Mathematics Subject Classification ID

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 (3)

Extendable cohomologies for complex analytic varieties ⋮ Fatou Flowers and Parabolic Curves ⋮ Thom form in equivariant Čech–de Rham theory

Cites Work

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• Weil divisors on normal surfaces
• Quadratic forms and holomorphic foliations on singular surfaces
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Invariant varieties through singularities of holomorphic vector fields
• Residual indices of holomorphic maps relative to singular curves of fixed points on surfaces
• Dual class of a subvariety
• The residual index and the dynamics of holomorphic maps tangent to the identity
• Residues of holomorphic vector fields relative to singular invariant subvarieties
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• Intersection theory on toric varieties
• Diagonalization of nondiagonalizable discrete holomorphic dynamical systems

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