Multiplicities of fixed points of holomorphic maps in several complex variables

DOI10.1007/BF02878713zbMath1019.37010OpenAlexW1568567371MaRDI QIDQ1609644

GuangYuan Zhang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878713

zbMATH Keywords

holomorphic mapfixed point multiplicities

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Geometric convexity in several complex variables (32F99)

Related Items (5)

Fixed point indices and periodic points of holomorphic mappings ⋮ The numbers of periodic orbits hidden at fixed points of n-dimensional holomorphic mappings ⋮ THE NUMBERS OF PERIODIC ORBITS HIDDEN AT FIXED POINTS OF THREE-DIMENSIONAL HOLOMORPHIC MAPPINGS ⋮ The numbers of periodic orbits hidden at fixed points of 2-dimensional holomorphic mappings ⋮ Fixed point indices and invariant periodic sets of holomorphic systems

Cites Work

• Analytic functional mappings
• Dynamical properties of plane polynomial automorphisms
• Bifurcations of Periodic Points of Holomorphic Maps From C² into C²
• Singular Points of Complex Hypersurfaces. (AM-61)
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