Additivity of the approximation functional of currents induced by Bergman kernels

Junyan Cao

doi:10.1016/j.crma.2014.11.004

Complex analysis/Analytic geometry

Additivity of the approximation functional of currents induced by Bergman kernels

Presented by: Jean-Pierre Demailly

Junyan Cao ¹

¹ Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France

Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 117-119

Abstract (Original language)
Résumé

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: 2014-10-31
Accepted: 2014-11-05
Published online: 2014-11-26

DOI: 10.1016/j.crma.2014.11.004

Author's affiliations:

Junyan Cao ¹

¹ Institut de mathématiques de Jussieu, Mathématique, 4, Place Jussieu, 75252, Paris cedex 5, France

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     author = {Junyan Cao},
     title = {Additivity of the approximation functional of currents induced by {Bergman} kernels},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {117--119},
     year = {2015},
     publisher = {Elsevier},
     volume = {353},
     number = {2},
     doi = {10.1016/j.crma.2014.11.004},
     language = {en},
}

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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

References
Cited by

[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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