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Apr 22, 2010 at 4:04 comment added BCnrd Artin also has an entire expose on this topic, incorporating generalization to a Dedekind base, near the end of SGA3 (which is used there to cleverly construct Chevalley schemes over Z with minimal computation). A more detailed exposition in that spirit is the very elegantly-written Chapter 5 of "Neron Models". The latter is my favorite reference on these matters.
Apr 22, 2010 at 0:07 comment added Emerton There is also a treatment in Cornell and Silverman (in Artin's article, I think), which is an updated (i.e. scheme-theoretic) treatment of Weil's original argument.
Apr 21, 2010 at 21:45 history answered Thomas Scanlon CC BY-SA 2.5