Decay of volumes under iteration of meromorphic mappings

Vincent Guedj

Displaying similar documents to “Decay of volumes under iteration of meromorphic mappings”

Brolin's theorem for curves in two complex dimensions

Charles Favre, Mattias Jonsson (2003)

Annales de l’institut Fourier

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Given a holomorphic mapping $f : ℙ^{2} \to ℙ^{2}$ of degree $d \geq 2$ we give sufficient conditions on a positive closed (1,1) current of $S$ of unit mass under which $d^{- n} f^{n *} S$ converges to the Green current as $n \to \infty$ . We also conjecture necessary condition for the same convergence.

Regularization of currents and entropy

Tien-Cuong Dinh, Nessim Sibony (2004)

Annales scientifiques de l'École Normale Supérieure

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Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets

Gerd Dethloff, Tran Van Tan (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of $ℂ^{m}$ into $ℂ P^{n}$ with truncated multiplicities and “few" targets. We also give a theorem of linear degeneration for such maps with truncated multiplicities and moving targets.

On the Hausdorff dimension of Julia sets of meromorphic functions. II

Janina Kotus (1995)

Bulletin de la Société Mathématique de France

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Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds

Jean-Pierre Demailly, János Kollár (2001)

Annales scientifiques de l'École Normale Supérieure

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Residue currents of the Bochner-Martinelli type.

Mikael Passare, August Tsikh, Alain Yger (2000)

Publicacions Matemàtiques

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Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.