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Nov 21, 2011 at 22:03 comment added Daryl Cooper I agree. It is also true for subvarieties defined by linear equations: projective subspaces. Maybe the general case follows from Bishop's theorem (MR0168801) "Conditions for the analyticity of certain sets" I am hoping someone out there knows the answer.
Nov 19, 2011 at 5:36 history answered David Milovich CC BY-SA 3.0