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Dec 13, 2012 at 11:16 comment added rita As you can see, Francesco found a reference. Thanks again!
Dec 13, 2012 at 8:20 comment added Sándor Kovács I now feel obligated to think about this, but only tomorrow. That is, after I sleep a little. (I've just realized it is already tomorrow)....
Dec 13, 2012 at 8:19 history edited Sándor Kovács CC BY-SA 3.0
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Dec 13, 2012 at 8:18 comment added Sándor Kovács Oh, sorry. I was sloppy. I was thinking uniruled all the way. So, this is not an answer after all. Sorry!
Dec 13, 2012 at 7:42 comment added rita Thank you, Sándor. You are completely right: 1) I did not know the Miyaoka-Mori criterion, and 2) actually I am looking for an elementary proof, specific to the situation. The MM criterion says Fano varieties are uniruled. How does one show that they are actually unirational?
Dec 13, 2012 at 1:50 history answered Sándor Kovács CC BY-SA 3.0