Timeline for cuspidal curves in K3 surfaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 24, 2011 at 14:16 | comment | added | Jie Wang | Dear S$\acute{a}$ndor, Thank you very much for your input. I am sorry I did not say it clearly that I only need the cuspidal curves on some K3 surface. Chen's results is for a general K3, so I am hoping one could just construct some special K3 explicitly to do the job. When $g=8$, one can always get a 2-cuspidal section passing through two general point of $S$, because for each point, it is 3 conditions on $(\mathbb{P}^8)^{\lor}$ to get a node (i.e $H$ should contain $T_pS$) and one more conditions to get a cusp, so one can always find a 2-cusp. I will try your degeneration argument. | |
| Jun 24, 2011 at 13:54 | vote | accept | Jie Wang | ||
| Jun 24, 2011 at 5:50 | comment | added | Sándor Kovács | Jim, right. And I actually have seen that paper, but apparently I am getting forgetful. :) | |
| Jun 24, 2011 at 5:04 | comment | added | Jim Bryan | I think the paper you cite is majorized by Xi Chen's more recent paper: arxiv.org/abs/math/0011190 | |
| Jun 23, 2011 at 23:55 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
added 789 characters in body
|
| Jun 23, 2011 at 22:54 | history | answered | Sándor Kovács | CC BY-SA 3.0 |