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Dave Anderson
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The comment about stacks in the paper that first used them in an essential way probably belongs in this list:

"Full details on the basic properties and theorems for algebraic stacks will be given elsewhere." (Deligne-Mumford, The irreducibility of the space of curves of given genus, 1969.)

They don't quite say they will give the details in a paper, of course, so maybe it doesn't count.