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comment Does there exist a smooth version of Cohen's factorization theorem?
Yes, I forgot the span in the sentence, but the theorem does mention it. Sorry.
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comment Are there any simple, interesting consequences to motivate the local Langlands correspondence?
@PaulSiegel: I have edited the question. I was probably thinking "global understanding requires local understanding". That is not necessarily so, I guess.
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revised Are there any simple, interesting consequences to motivate the local Langlands correspondence?
added 24 characters in body
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