Timeline for Hilbert scheme of points
Current License: CC BY-SA 2.5
3 events
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| Sep 1, 2010 at 16:36 | comment | added | Angelo | Restricting to $X \times \zeta$ means tensoring with the structure sheaf of $X \times \zeta$; because of the symmetry of the Tor_1, the exact sequence above stays exact. We don't use subsheaves precisely because they don't pull back to subsheaves, so they don't define a functor. | |
| Sep 1, 2010 at 13:35 | comment | added | Messi | Sorry, I can't understand. Could you give the details? Why 0→I_Z→O_(X×X_[n])→O_Z→0 restrict to ζ is still exact? Why we don't use subsheaves to construct Quot scheme? | |
| Sep 1, 2010 at 11:24 | history | answered | Angelo | CC BY-SA 2.5 |