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May 17, 2018 at 7:46 vote accept Jana
May 17, 2018 at 2:37 comment added Zach Teitler I think your $S_d$ is the dual variety of, not $X \subset \mathbb{P}^n$, but rather the degree $d$ Veronese re-embedding $\nu_d(X) \subset \mathbb{P}^N$, $N = \binom{n+d}{n}-1$.
May 17, 2018 at 1:42 answer added Puzzled timeline score: 1
May 16, 2018 at 19:35 comment added Mohan You do not understand correctly. Even for irreducible varieties, $S_d$ may not be irreducible. For a simple example, take a nodal curve in the plane and $d=1$.
May 16, 2018 at 17:25 history asked Jana CC BY-SA 4.0