Algebraic webs invariant under endomorphisms. (English) Zbl 1180.37057

Dabija, Marius; Jonsson, Mattias

Publ. Mat., Barc. 54, No. 1, 137-148 (2010).

Summary: We classify noninvertible, holomorphic selfmaps of the projective plane that preserve an algebraic web. In doing so, we obtain interesting examples of critically finite maps.

MSC:

37F10	Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
37F45	Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations (MSC2010)
32H50	Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables
14C21	Pencils, nets, webs in algebraic geometry

Keywords:

algebraic webs; integrable dynamics; complex dynamics; holomorphic dynamics; holomorphic mappings

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