Regularization of currents and entropy

Tien-Cuong Dinh; Nessim Sibony

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Displaying similar documents to “Regularization of currents and entropy”

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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On compact Kähler surfaces

Nicholas Buchdahl (1999)

Annales de l'institut Fourier

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Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.

Decay of volumes under iteration of meromorphic mappings

Vincent Guedj (2004)

Annales de l'Institut Fourier

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Let $f$ be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of $f$ . We use these volume estimates to construct the Green current of $f$ in a quite general setting.

Divisorial Zariski decompositions on compact complex manifolds

Sébastien Boucksom (2004)

Annales scientifiques de l'École Normale Supérieure

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A Nakai-Moishezon criterion for non-Kähler surfaces

Nicholas Buchdahl (2000)

Annales de l'institut Fourier

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A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.