A note on Lang's conjecture for quotients of bounded domains
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866909170684395520 |
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| author | Boucksom, Sébastien Diverio, Simone |
| author_facet | Boucksom, Sébastien Diverio, Simone |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_02398 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A note on Lang's conjecture for quotients of bounded domains Boucksom, Sébastien Diverio, Simone Complex Variables Algebraic Geometry 32Q15 (Primary), 32Q05 (Secondary) 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. |
| title | A note on Lang's conjecture for quotients of bounded domains |
| topic | Complex Variables Algebraic Geometry 32Q15 (Primary), 32Q05 (Secondary) |
| url | https://arxiv.org/abs/1809.02398 |