Complex analysis/Analytic geometry
Additivity of the approximation functional of currents induced by Bergman kernels
[Additivité de la fonctionnelle d'approximation des courants induite par les noyaux de Bergman]

Présenté par : Jean-Pierre Demailly

Cao, Junyan1
1 Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France
Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 117-119.

Dans cette note, nous apportons une réponse positive à une question soulevée par Jean-Pierre Demailly en 2013, et démontrons l'additivité de la fonctionnelle d'approximation des courants positifs fermés de type (1,1) induite par les noyaux de Bergman.

In this note, we give a positive answer to a question raised by Jean-Pierre Demailly in 2013, and show the additivity of the approximation functional of closed positive (1,1)-currents induced by Bergman kernels.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.11.004
Cao, Junyan 1

1 Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France 
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Cao, Junyan. Additivity of the approximation functional of currents induced by Bergman kernels. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 117-119. doi : 10.1016/j.crma.2014.11.004. http://www.numdam.org/articles/10.1016/j.crma.2014.11.004/

[1] Demailly, J.-P. Regularization of closed positive currents and intersection theory, J. Algebraic Geom., Volume 1 (1992), pp. 361-409

[2] Demailly, J.-P. On the cohomology of pseudoeffective line bundles | arXiv

[3] Demailly, J.-P.; Ein, L.; Lazarsfeld, R. Subadditivity property of multiplier ideals, Mich. Math. J., Volume 48 (2000), pp. 137-156

[4] Demailly, J.-P.; Peternell, Th.; Schneider, M. Pseudo-effective line bundles on compact Kähler manifolds, Int. J. Math., Volume 6 (2001), pp. 689-741

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