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 C0 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 C0-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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