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.
A note on Lang's conjecture for quotients of bounded domains / Boucksom, S; Diverio, S. - In: ÉPIJOURNAL DE GÉOMÉTRIE ALGÉBRIQUE. - ISSN 2491-6765. - 5:(2021).
A note on Lang's conjecture for quotients of bounded domains
Diverio, S
2021
Abstract
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.File allegati a questo prodotto
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