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Feb 1, 2013 at 1:21 comment added Sándor Kovács To be honest, I didn't pay attention to the dimension of the space. Since you said it would be a hypersurface of a given degree, I just thought the question was in an arbitrary space. The reason I haven't deleted this non-answer is to give others the chance to not make the same mistake. Cheers!
Feb 1, 2013 at 0:29 comment added aglearner Sandor, I guess this confusion was because of $n!$... so I added a line and hope the question will not be confusing for other people who read it...
Feb 1, 2013 at 0:17 history edited Sándor Kovács CC BY-SA 3.0
added 36 characters in body; deleted 10 characters in body
Feb 1, 2013 at 0:16 comment added Sándor Kovács Ah, I missed that detail. Sorry.
Feb 1, 2013 at 0:16 comment added aglearner Note that $n<< n!$. Such hypersufaces of Fano, and they have plenty of lines. So your examples are not quite related to the actual question...
Feb 1, 2013 at 0:14 comment added aglearner Sandor I consider a hypersurface of degree $n$ in $\mathbb CP^{n!}$.
Jan 31, 2013 at 23:48 history answered Sándor Kovács CC BY-SA 3.0