On the classification of Meromorphic Affine Connections on Complex Compact Surfaces - Laboratoire de Mathématiques d'Avignon Access content directly
Preprints, Working Papers, ... Year : 2024

On the classification of Meromorphic Affine Connections on Complex Compact Surfaces

Abstract

We classify meromorphic affine connections on compact complex surfaces with algebraic dimension one, extending the work of Inoue,Kobayashi and Ochiai (1981) in the holomorphic case. The motivation is to investigate possible extension of the principle of uniformization of complex compact curves by means of geometric structures, in higher dimensions and allowing singularities to the geometric structures.
Fichier principal
Vignette du fichier
invariance7 (2).pdf (596.94 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04454225 , version 1 (14-02-2024)
hal-04454225 , version 2 (12-03-2024)
hal-04454225 , version 3 (28-04-2024)

Identifiers

Cite

Alexis Garcia. On the classification of Meromorphic Affine Connections on Complex Compact Surfaces. 2024. ⟨hal-04454225v3⟩
60 View
13 Download

Altmetric

Share

Gmail Facebook X LinkedIn More