Comptes Rendus
no. 2
Complex analysis/Analytic geometry
Additivity of the approximation functional of currents induced by Bergman kernels
Jean-Pierre Demailly
Junyan Cao1
1Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France
Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 117-119

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2014.11.004

Junyan Cao  1

1 Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France 
Junyan Cao. Additivity of the approximation functional of currents induced by Bergman kernels. Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 117-119. doi: 10.1016/j.crma.2014.11.004
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[1] J.-P. Demailly Regularization of closed positive currents and intersection theory, J. Algebraic Geom., Volume 1 (1992), pp. 361-409

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

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

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

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