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Oct 4, 2014 at 2:20 comment added Hugo Chapdelaine The second part of your explanation is extremely enlightening and made me understand with some depth the meaning of the expression "smoothness spreads out from the generic fiber".
Oct 4, 2014 at 1:59 vote accept Hugo Chapdelaine
Oct 4, 2014 at 1:59 comment added Hugo Chapdelaine Dear aonymous, thanks a lot for your answer. I had completely forgotten about the Nullestellsaz (and elemination theory), but now I remember Wan der Waerden wonderful treatment in his second algebra book. I really like this kind of argument since it is extremely elementary and it goes directly to the heart of the matter without burying it into fancy words which sometimes hide the essential truth.
Oct 4, 2014 at 1:54 vote accept Hugo Chapdelaine
Oct 4, 2014 at 1:59
Oct 3, 2014 at 21:16 review First posts
Oct 3, 2014 at 21:17
Oct 3, 2014 at 21:14 history answered user59003 CC BY-SA 3.0