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Jul 13, 2015 at 15:56 vote accept Ron
Apr 16, 2015 at 16:53 history edited abx CC BY-SA 3.0
answered to the edited question.
Apr 16, 2015 at 16:00 comment added Ron @abx: Thank you very much for your answer. But, I am sorry, I meant linearly embedded $\mathbb{P}^3$. I will edit the original question.
Apr 16, 2015 at 15:38 comment added abx I don't see anything linear in "the closed immersion of $\pi ^{-1}(b_0)\hookrightarrow \mathbb{P}^n$ factors through $\mathbb{P}^3$". Of course this would be a completely different question.
Apr 16, 2015 at 14:48 comment added Sasha My impression was that the question asked whether the embedding of a special curve can factor through a LINEARLY embedded ${\mathbb P}^3$, and in this example it is embedded via the second Veronese embedding.
Apr 16, 2015 at 13:25 history answered abx CC BY-SA 3.0