Generalized Bergman kernels on symplectic manifolds

Xiaonan Ma; George Marinescu

doi:10.1016/j.crma.2004.07.016

Differential Geometry

Generalized Bergman kernels on symplectic manifolds
[Noyaux de Bergman généralisés sur les variétés symplectiques.]

Présenté par : Jean-Michel Bismut

Xiaonan Ma ¹ ; George Marinescu ²

¹ Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
² Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin, Germany

Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 493-498.

Résumé
Abstract

On étudie le développement asymptotique du noyau de Bergman généralisé du Laplacien de Bochner renormalisé associé à une puissance tendant vers l'infini d'un fibré en droites positif sur une variété symplectique compacte.

We study the asymptotic of the generalized Bergman kernels of the renormalized Bochner–Laplacian on high tensor powers of a positive line bundle on compact symplectic manifolds.

Reçu le : 2004-07-12
Publié le : 2004-09-11

DOI : 10.1016/j.crma.2004.07.016

Affiliations des auteurs :

Xiaonan Ma ¹ ; George Marinescu ²

¹ Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
² Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin, Germany

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     title = {Generalized {Bergman} kernels on symplectic manifolds},
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     pages = {493--498},
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     number = {7},
     year = {2004},
     doi = {10.1016/j.crma.2004.07.016},
     language = {en},
}

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Xiaonan Ma; George Marinescu. Generalized Bergman kernels on symplectic manifolds. Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 493-498. doi : 10.1016/j.crma.2004.07.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.07.016/

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