Timeline for Uniruled + Picard number 1 = Fano?

9 events

when toggle format	what		by	license	comment
Jun 1, 2011 at 13:43	history	edited	Francesco Polizzi	CC BY-SA 3.0	deleted 30 characters in body
Jun 1, 2011 at 7:07	comment	added	Sándor Kovács		Yeah, I know. You can just replace $\mathrm{Pic}$ with $\mathrm{Num}$.
Jun 1, 2011 at 6:50	comment	added	Francesco Polizzi		Sandor, of course you are right. I was thinking only about those divisor classes which are not numerically trivial. I will edit the answer, thank you.
Jun 1, 2011 at 6:48	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 43 characters in body
Jun 1, 2011 at 6:30	comment	added	Sándor Kovács		Francesco, just to do a little bit of nitpicking, let me point out that the Picard number being $1$ does not imply that $\mathrm{Pic}X\simeq \mathbb Z$. In general there might be some torsion classes. Of course, this does not matter in your argument, and at the end $X$ is simply connected so there are actually no torsion classes, but I don't think this is clear a priori. Cheers.
May 31, 2011 at 18:20	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 19 characters in body
May 31, 2011 at 16:38	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 381 characters in body; added 13 characters in body; deleted 2 characters in body
May 31, 2011 at 16:30	comment	added	naf		The canonical divisor could also be trivial (though of course this doesn't affect the argument).
May 31, 2011 at 16:25	history	answered	Francesco Polizzi	CC BY-SA 3.0