Complex analysis/Differential geometry
A note on the Bergman Kernel
[Sur le noyau de Bergman]

Présenté par : Jean-Pierre Demailly

Charles, Laurent1
1 Institut de mathématiques de Jussieu-Paris rive gauche, 4, place Jussieu, 75252 Paris, France
Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 121-125.

Il est connu que le noyau de Bergman associé à Lk, où L est un fibré en droite positif sur une variété complexe compacte, admet un développement asymptotique. Nous prouvons de manière élémentaire que le terme sous-principal de ce développement est donné par la courbure scalaire.

It is known that the Bergman kernel associated with Lk, where L is positive line bundle over a complex compact manifold, has an asymptotic expansion. We give an elementary proof of the fact that the subprincipal term of this expansion is the scalar curvature.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.11.007
Charles, Laurent 1

1 Institut de mathématiques de Jussieu-Paris rive gauche, 4, place Jussieu, 75252 Paris, France 
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Charles, Laurent. A note on the Bergman Kernel. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 121-125. doi : 10.1016/j.crma.2014.11.007. http://archive.numdam.org/articles/10.1016/j.crma.2014.11.007/

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