Timeline for Complex manifold $X$ with $\dim H^0(X,\Omega^{\dim_{\mathbb{C}} X})>2$
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 11, 2012 at 14:45 | comment | added | Francesco Polizzi | Ok, ok. But as soon as $g(C_1)$ and $g(C_2)$ are at least $2$ they are :-) | |
| Oct 11, 2012 at 14:22 | comment | added | diverietti | They are not necessarily surfaces of general type! | |
| Oct 11, 2012 at 14:14 | comment | added | J.C. Ottem | Any abelian threefold also satisfies this. | |
| Oct 11, 2012 at 9:05 | comment | added | Francesco Polizzi | Indeed they are surfaces of general type. You can start to study them in Beauville's book or in Barth-Peters-Van de Ven | |
| Oct 11, 2012 at 8:55 | comment | added | user2013 | You are right. I think they belong to surfaces of general types and hence I am not familiar with and haven't seen them. | |
| Oct 11, 2012 at 8:53 | history | edited | user2013 | CC BY-SA 3.0 |
deleted 128 characters in body; added 78 characters in body
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| Oct 11, 2012 at 8:40 | comment | added | Francesco Polizzi | Take $X=C_1×C_2$ where $C_1$ and $C_2$ are smooth curves. Then $h^0(X,K_X)=g(C_1)g(C_2)$ which can be as big as you wish | |
| Oct 11, 2012 at 8:30 | history | asked | user2013 | CC BY-SA 3.0 |