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Pré-Publication, Document De Travail Année : 2019

A NOTE ON LANG'S CONJECTURE FOR QUOTIENTS OF BOUNDED DOMAINS

Résumé

It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. We verify this conjecture for projective mani-folds whose universal cover carries a bounded, strictly plurisubharmonic function. This includes in particular compact free quotients of bounded domains.
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Dates et versions

hal-02357922 , version 1 (10-11-2019)

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  • HAL Id : hal-02357922 , version 1

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Sébastien Boucksom, Simone Diverio. A NOTE ON LANG'S CONJECTURE FOR QUOTIENTS OF BOUNDED DOMAINS. 2019. ⟨hal-02357922⟩
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