On the local classification of holomorphic vector fields. (English) Zbl 0574.58025

Chaperon, Marc

Geometric dynamics, Proc. int. Symp., Rio de Janeiro/Brasil 1981, Lect. Notes Math. 1007, 96-103 (1983).

[For the entire collection see Zbl 0511.00026.]
This is an account of the author’s work on the problem of classifying local holomorphic fields, with a description of how a complex version of the Grobman-Hartman linearization theorem for flows is proved in the author’s thesis.

Reviewer: B.Nowak

MSC:

37C10	Dynamics induced by flows and semiflows
58C10	Holomorphic maps on manifolds

Keywords:

problem of classifying local holomorphic fields; Grobman-Hartman linearization