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Mar 29, 2012 at 6:56 comment added Jérôme Poineau I think you refer to Bézout's theorem. In my case, it would say that if I intersect s hypersurfaces of degree d, the sum of the degrees of the irreducible components is at most $d^s$. This is certainly relevant and Angelo actually used it in his answer. On the other hand, it is not so easy to use it directly since I do not want to bound s.
Mar 29, 2012 at 0:44 history answered Igor Rivin CC BY-SA 3.0