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Sébastien Boucksom ; Simone Diverio - A note on Lang's conjecture for quotients of bounded domains
epiga:6050 - Épijournal de Géométrie Algébrique, 25 mars 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.volume5.6050A note on Lang's conjecture for quotients of bounded domainsArticle
It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. We verify this conjecture for projective manifolds whose universal cover carries a bounded, strictly plurisubharmonic function. This includes in particular compact free quotients of bounded domains.
Source : arXiv.org:1809.02398
Volume : Volume 5
Publié le : 25 mars 2021
Accepté le : 25 mars 2021
Soumis le : 24 janvier 2020
Mots-clés : Mathematics - Complex Variables,Mathematics - Algebraic Geometry,32Q15 (Primary), 32Q05 (Secondary)
Financement :
- Source : OpenAIRE Graph
- Foliations and algebraic geometry; Financeur: French National Research Agency (ANR); Code: ANR-16-CE40-0008
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Est lié à
Brunebarbe, Y. (2016). A strong hyperbolicity property of locally symmetric varieties (1–). CIRM. 10.24350/CIRM.V.18991003 1
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