Sébastien Boucksom ; Simone Diverio - A note on Lang's conjecture for quotients of bounded domains

epiga:6050 - Épijournal de Géométrie Algébrique, March 25, 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.volume5.6050
A note on Lang's conjecture for quotients of bounded domains

Authors: Sébastien Boucksom ; Simone Diverio

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.


Volume: Volume 5
Published on: March 25, 2021
Submitted on: January 24, 2020
Keywords: Mathematics - Complex Variables,Mathematics - Algebraic Geometry,32Q15 (Primary), 32Q05 (Secondary)


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