Représentations linéaires des groupes kählériens : Factorisations et conjecture de Shafarevich linéaire
type: Dataset
description: We extend to compact Kähler manifolds some classical results on linear representation of fundamental groups of complex projective manifolds. Our approach based on an interversion lemma for fibrations with tori versus general type manifolds as fibers gives a refinement of the classical work of Zuo. We extend to the kahler case some general results on holomorphic convexity of coverings such as the linear shafarevich conjecture. In the first version, the proof of the statement that a linear Kahler group is virtually complex-projective was wrong. We removed it from this new version. The proof will be given in a forthcoming work.
issued: 2026-05-06T08:52:34.893749
language: fr
modified: 2026-05-06T08:52:34.893754
contact point: Organization
  fn: CCSD
keyword: 32q30-32j27
keyword: infoeu-reposemanticsreport
keyword: kahler-groups
keyword: kahler-manifolds
keyword: mathmath-agmathematics-mathalgebraic-geometry-mathag
keyword: reports
keyword: shafarevich-morphisms
landing page: https://hal.science/hal-00790601

Représentations linéaires des groupes kählériens : Factorisations et conjecture de Shafarevich linéaire
type: Distribution
format: HTML
issued: 2026-05-06T08:52:34.898657
modified: 2026-05-06T08:52:34.878861
access URL: https://hal.science/hal-00790601

test_moissonnage_selune
type: Agent