Timeline for Genus two pencil in K3 surface
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 11, 2012 at 13:16 | comment | added | user24328 | What I have above is actually a genus two fibration structure on $K3$ blowing up twice. To get the pencil structure, we don't blow up the base point on line $H$. | |
| Jun 11, 2012 at 13:03 | comment | added | user24328 | Thanks Tony. No, my goal is not to construct aferomentioned pencil of genus two curves in $K3$. I know one can take smooth sextic (or six lines in general position) as a branch locus in $\mathbb{CP}^2$, blow up one point on seventh line $H$ away from this branch locus, and take two fold cover. I wanted to see the same smooth sextic construction from different angle. Thanks again for your clarification. | |
| Jun 11, 2012 at 12:49 | vote | accept | user24328 | ||
| Jun 11, 2012 at 12:44 | history | answered | Tony Pantev | CC BY-SA 3.0 |