Timeline for Topology of Brody hyperbolic manifolds
Current License: CC BY-SA 4.0
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| Sep 29, 2020 at 12:23 | comment | added | Nick L | There is a conjecture that hyperbolic projective manifolds have $K_{X}$ ample. Such manifolds do satisfy topological restrictions; from the Bogomolov-Miyaoka-Yau and Miyaoka-Yau inequalities in dimension 2 and 3 respectively. For example they can be used to give restrictions on the Betti numbers and allow one to rule out being diffeomorphic more than half of the Fano $3$-folds mathoverflow.net/questions/318900/…. On the other hand, the conjecture suggests that there is not an example of what you ask for in the current literature. | |
| Sep 28, 2020 at 20:40 | history | asked | user164740 | CC BY-SA 4.0 |