Quotient of Bergman kernels on punctured Riemann surfaces - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Quotient of Bergman kernels on punctured Riemann surfaces

Résumé

In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincaré metric near the punctures, and a holomorphic line bundle that polarizes the metric. We show that the quotient of the Bergman kernel of high tensor powers of the line bundle and of the Bergman kernel of the Poincaré model near the singularity tends to one up to arbitrary negative powers of the tensor power.
Fichier principal
Vignette du fichier
bkpr4.pdf (395.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02536152 , version 1 (07-04-2020)

Identifiants

Citer

Hugues Auvray, Xiaonan Ma, George Marinescu. Quotient of Bergman kernels on punctured Riemann surfaces. 2020. ⟨hal-02536152⟩
43 Consultations
27 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More