Timeline for Co-Objects are better
Current License: CC BY-SA 2.5
3 events
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| Feb 15, 2010 at 5:23 | history | edited | Emerton | CC BY-SA 2.5 |
added 6 characters in body
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| Jan 19, 2010 at 19:29 | comment | added | Emerton | I'm not sure that your remark addresses all the complications. E.g., it is true that if $C$ is a smooth projective curve over a field $k$, then $Sym^n C$ is the Hilbert scheme of degree $n$ effective divisors on $C$, but I've never found it completely trivial to prove that the symmetric power satisfies the requisite functorial properties. Another e.g.: if $C$ has genus $2$ then blowing down the graph of the hyperelliptic involution in $Sym^2 C$ gives the $Pic^0$ of $C$. I've never found this completely trivial either. Of course, I'm just speaking of my own understanding of these matters. | |
| Jan 19, 2010 at 18:57 | history | answered | Emerton | CC BY-SA 2.5 |