Timeline for Elements of a Hilbert scheme of points determining a linear subspace
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 6, 2019 at 5:24 | comment | added | abx | Yes, but you don't even need to repeat: just take the intersection of $(X\cap\Lambda)^{[n]}\subset X^{[n]}$ with the previous open subset. | |
| Nov 5, 2019 at 21:09 | comment | added | modnar | If we want $Z \in X^{[n]}$ to determine some fixed linear subspace $\Lambda$ of dimension $n - 1$, is it enough to repeat the steps above with $X \cap \Lambda$ replacing $X$ to find the subset of elements of $X^{[n]}$ determining $\Lambda$? | |
| Nov 5, 2019 at 16:54 | comment | added | abx | Yes. More precisely perhaps, imposing any upper bound on that dimension gives an open condition. | |
| Nov 5, 2019 at 15:21 | comment | added | modnar | Just to clarify, does this mean that specifying some arbitrary dimension other than $m - n + 1$ gives a locally closed condition? | |
| Nov 5, 2019 at 8:30 | history | answered | abx | CC BY-SA 4.0 |