Limit currents and value distribution of holomorphic maps
Burns, Daniel · Sibony, Nessim
Original · EN
We construct d-closed and ddᶜ-closed positive currents associated to a holomorphic map ϕ via cluster points of normalized weighted truncated image currents. They are constructed using analogues of the Ahlfors length-area inequality in higher dimensions. Such classes of currents are referred to as Ahlfors currents. We give some applications to equidistribution problems in value distribution theory.
English translation
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