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Dec 6, 2009 at 11:20 comment added Andrew Critch This only shows that (often) $\otimes A/I$ is not representable by an affine scheme Spec(R); I just added "by a scheme" to a few more places in the question to be clear about this. (Also, I'm starting to believe EGA...)
Dec 6, 2009 at 10:15 history edited Kevin Buzzard CC BY-SA 2.5
edited comments to reflect current state of question.
Dec 6, 2009 at 8:42 comment added Kevin Buzzard Andrew: are you sure EGA is wrong?? Can you justify your assertion? If EGA is right then it provides a beautiful answer to your question.
Dec 6, 2009 at 8:27 history answered Kevin Buzzard CC BY-SA 2.5