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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Jean-Pierre Demailly, János Kollár (2001)
Annales scientifiques de l'École Normale Supérieure
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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.
Vincent Guedj (2004)
Annales de l'Institut Fourier
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Let be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of . We use these volume estimates to construct the Green current of in a quite general setting.
Sébastien Boucksom (2004)
Annales scientifiques de l'École Normale Supérieure
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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.