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Feb 10, 2013 at 13:02 comment added IMeasy Of course you are right. I am sorry I didn't notice that you assumed the smootheness of the variety. As it is now my comment means nothing. I will delete it in the next few days. ;)
Feb 9, 2013 at 18:19 comment added aglearner IMeasy, a smooth submanifold of $\mathbb CP^n$ is always a local complete intersection, is not it? On the other hand the condition that I impose is clearly strong, so I am still optimstic about a possible positive answer to the question :)
Feb 9, 2013 at 15:42 history answered IMeasy CC BY-SA 3.0