Abstract.
In this paper we study laminar currents in ℙ2. Given a sequence of irreducible algebraic curves (C n ) converging in the sense of currents to T, we find geometric conditions on the curves ensuring that the limit current T is laminar. This criterion is then applied to meromorphic dynamical systems in ℙ2, and laminarity of the dynamical ``Green'' current is obtained for a wide class of meromorphic self maps of ℙ2, as well as for all bimeromorphic maps of projective surfaces.
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Received: 24 September 2001 / Published online: 10 February 2003
Mathematics Subject Classification (2000): 32U40, 37Fxx, 32H50
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Dujardin, R. Laminar currents in ℙ2 . Math. Ann. 325, 745–765 (2003). https://doi.org/10.1007/s00208-002-0402-9
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DOI: https://doi.org/10.1007/s00208-002-0402-9