A CHARACTERIZATION OF COMPLEX QUASI-PROJECTIVE MANIFOLDS UNIFORMIZED BY UNIT BALLS - Université de Lorraine Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

A CHARACTERIZATION OF COMPLEX QUASI-PROJECTIVE MANIFOLDS UNIFORMIZED BY UNIT BALLS

Ya Deng
  • Fonction : Auteur
  • PersonId : 16816
  • IdHAL : ya-deng

Résumé

In 1988 Simpson extended the Donaldson-Uhlenbeck-Yau theorem to the context of Higgs bundles, and as an application he proved a uniformization theorem which characterizes complex projective manifolds and quasi-projective curves whose universal coverings are complex unit balls. In this paper we give a necessary and su cient condition for quasi-projective manifolds to be uniformized by complex unit balls. This generalizes the uniformization theorem by Simpson. Several byproducts are also obtained in this paper.
Fichier principal
Vignette du fichier
uniformization.pdf (669.37 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02902440 , version 1 (19-07-2020)
hal-02902440 , version 2 (26-07-2021)

Identifiants

Citer

Ya Deng. A CHARACTERIZATION OF COMPLEX QUASI-PROJECTIVE MANIFOLDS UNIFORMIZED BY UNIT BALLS. 2020. ⟨hal-02902440v1⟩
35 Consultations
83 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More