Timeline for Do all Fano threefolds have effective $c_2$?
Current License: CC BY-SA 3.0
7 events
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| Apr 8, 2018 at 13:55 | history | edited | Ennio Mori cone | CC BY-SA 3.0 |
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| Apr 8, 2018 at 12:40 | comment | added | Chen Jiang | That is not correct. You need to prove that the tangent sheaf is generically nef in order to use Miyaoka’s theorem. That is proved by KMMT for canonical Fano threefolds. Also Peternell showed smooth case, and Wenhao Ou for general cases. | |
| Apr 8, 2018 at 9:33 | comment | added | Ennio Mori cone | Yes, you are right, it goes beyond much further. I'll update. | |
| Apr 8, 2018 at 9:19 | vote | accept | aglearner | ||
| Apr 8, 2018 at 8:59 | history | edited | Ennio Mori cone | CC BY-SA 3.0 |
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| Apr 8, 2018 at 8:43 | comment | added | Chen Jiang | Actually, for fano 3-folds, this is a theorem of Kollar—Miyaoka—Mori—Takagi in 2000. | |
| Apr 8, 2018 at 3:50 | history | answered | Ennio Mori cone | CC BY-SA 3.0 |