Timeline for Is equivariant homology class preserved in the limit?
Current License: CC BY-SA 3.0
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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 |