Feuilleter
no. 5
An explicit estimate of the Bergman kernel for positive line bundles
[Une estimation explicite du noyau de Bergman pour les fibrés de droites positifs]
Xu Wang1
1 Departement of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 32 (2023) no. 5, pp. 805-816.

Nous donnerons une estimation explicite de la borne inférieure du noyau de Bergman associé à un fibré de droites positif. Dans le cas de la surface compacte de Riemann, notre résultat peut être vu comme une version explicite de l’estimation partielle C 0 de Tian.

We shall give an explicit estimate of the lower bound of the Bergman kernel associated to a positive line bundle. In the compact Riemann surface case, our result can be seen as an explicit version of Tian’s partial C 0 -estimate.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1752
Classification : 32A25
Keywords: Bergman kernel, Ohsawa–Takegoshi theorem
Mots-clés : Noyau Bergman, Théorème d’Ohsawa–Takegoshi

Xu Wang 1

1 Departement of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Xu Wang. An explicit estimate of the Bergman kernel  for positive line bundles. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 32 (2023) no. 5, pp. 805-816. doi : 10.5802/afst.1752. https://afst.centre-mersenne.org/articles/10.5802/afst.1752/

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