A note on Lang's conjecture for quotients of bounded domains
Épijournal de Géométrie Algébrique, Tome 5 (2021)
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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.
@article{10_46298_epiga_2021_volume5_6050,
author = {Boucksom, S\'ebastien and Diverio, Simone},
title = {A note on {Lang's} conjecture for quotients of bounded domains},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {5},
year = {2021},
doi = {10.46298/epiga.2021.volume5.6050},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.volume5.6050/}
}
TY - JOUR AU - Boucksom, Sébastien AU - Diverio, Simone TI - A note on Lang's conjecture for quotients of bounded domains JO - Épijournal de Géométrie Algébrique PY - 2021 VL - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.volume5.6050/ DO - 10.46298/epiga.2021.volume5.6050 LA - en ID - 10_46298_epiga_2021_volume5_6050 ER -
%0 Journal Article %A Boucksom, Sébastien %A Diverio, Simone %T A note on Lang's conjecture for quotients of bounded domains %J Épijournal de Géométrie Algébrique %D 2021 %V 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2021.volume5.6050/ %R 10.46298/epiga.2021.volume5.6050 %G en %F 10_46298_epiga_2021_volume5_6050
Boucksom, Sébastien; Diverio, Simone. A note on Lang's conjecture for quotients of bounded domains. Épijournal de Géométrie Algébrique, Tome 5 (2021). doi: 10.46298/epiga.2021.volume5.6050
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