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Apr 8, 2013 at 22:13 comment added Mohan @Jana, I do not think the degree $p$ point is the intersection of $S_n$ with a general linear subspace. It is rather special. The degree of the hypersurface $S_n$ is $p^n$.
Apr 8, 2013 at 20:48 comment added Jana @Mohan: In your paper as far as I understand, to prove that every point in $S_n$ (notations as in the paper) has degree a multiple of degree $p$ you produce a point which is of degree $p$. Since this point is the intersection of $S_n$ with $n-1$ general hyperplane sections, this gives the degree of $S_n$. Do I understand this correctly?
Apr 7, 2013 at 18:54 history answered Mohan CC BY-SA 3.0