New invariants and attracting domains for holomorphic maps in C2 tangent to the identity

Author

Rong, Feng

Publication date

2015

Abstract

The author is partially supported by the National Natural Science Foundation of China (grant no. 11371246).


We study holomorphic maps of C2 tangent to the identity at fixed point which have degenerate characteristic directions. With the help of some new invariants, we give suficient conditions for the existence of attracting domains in these degenerate characteristic directions.

Document Type

Article

Language

English

Subjects and keywords

Attracting domains; Degenerate characteristic directions; Holomorphic maps tangent to the identity

Publisher

 

Related items

Publicacions matemàtiques ; Vol. 59 Núm. 1 (2015), p. 235-243

Rights

open access

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