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May 26, 2012 at 22:23 vote accept Neeraj
May 26, 2012 at 20:50 history edited François Brunault CC BY-SA 3.0
added 323 characters in body; added 100 characters in body
May 26, 2012 at 19:35 comment added François Brunault @Will Sawin : Thanks for pointing this out ! The same argument should prove that the hypersurface $h_a(x_1,\ldots,x_n)=0$ is smooth for any $n \geq 3$, which implies that $h_a$ is irreductible. Alternatively, your argument reduces the general case to the case $n=3$.
May 26, 2012 at 19:26 comment added Will Sawin There is no reason this argument should fail for $n>3$.
May 26, 2012 at 17:41 history answered François Brunault CC BY-SA 3.0