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Oct 18, 2013 at 6:46 history edited Anon CC BY-SA 3.0
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Oct 18, 2013 at 6:02 comment added Anon Thanks @AllenKnutson. I modified the question to reflect the changes you suggest.
Oct 18, 2013 at 6:02 history edited Anon CC BY-SA 3.0
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Oct 17, 2013 at 16:20 comment added Allen Knutson At the very least you want to assume $u$ is proper, or else $u^{-1}(0)$ could be empty. I guess if "curve" means irreducible, then you're not worried about $C$ having components lying entirely inside $u^{-1}(0)$, but I would usually exclude that by saying "flat". I guess $u_s : C_s \to X/G$, so the class you're asking about is $(u_s)_*[C_s]$ (not upper-star)?
Oct 17, 2013 at 6:54 history asked Anon CC BY-SA 3.0