Revistes Catalanes amb Accés Obert (RACO)

Green currents for quasi-algebraically stable meromorphic self-maps of Pk

Viêt-Anh Nguyên

Resum


We construct a canonical Green current Tf for every quasi-algebraically stable meromorphic self-map f of Pk such that its rst dynamical degree 1(f) is a simple root of its characteristic polynomial and that λ1(f) > 1: We establish a functional equation for Tf and show that the support of Tf is contained in the Julia set, which is thus non empty.

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