Degenerate characteristic directions for maps tangent to the Identity

Details Degenerate characteristic directions for maps tangent to the Identity Degenerate characteristic directions for maps tangent to the Identity

2011-06-07

arxiv.org/abs/1106.1471v2

Mathematics

Complex Variables

2 figures. The exposition has been improved and some typos corrected

Scientific paper

Let F be a germ of (C^2,O) tangent to the identity. Assume F has a characteristic direction [v]. In [Hak] Hakim gives conditions to guarantee the existence of an attracting basin to the origin along [v], in the case of [v] a non-degenerate characteristic direction. In this paper we give conditions to guarantee the existence of basins along [v] in the case of [v] a degenerate characteristic direction.

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