Timeline for A curve in an abelian surface and its image in the Kummer surface
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 4, 2015 at 17:44 | comment | added | abx | If and only if the 16 points are smooth points of the curve. | |
| Nov 2, 2015 at 8:57 | comment | added | abx | Right, as I said: the image is singular. | |
| Nov 2, 2015 at 5:08 | comment | added | gradstudent | If we choose a general smooth $C\in |L|$, this again will not be fixed by the involution $\sigma$. The number of points in the intersection of $C$ and $\sigma(C)$ is $C.\sigma(C)=2n^2$. So $C$ again is not isomorphic to it's image in the Kummer surface right? | |
| Oct 30, 2015 at 20:21 | comment | added | abx | Yes, by definition. | |
| Oct 30, 2015 at 19:25 | comment | added | gradstudent | Is it the strict transform of a curve through all 16 points in $X$? | |
| Oct 30, 2015 at 18:43 | comment | added | abx | No for a general such curve. It meets each $E_i$ in one point. | |
| Oct 30, 2015 at 11:21 | comment | added | gradstudent | Do curves in $|nb^*C-\Sigma E_i|$ contain $E_i$? | |
| Oct 29, 2015 at 18:15 | vote | accept | gradstudent | ||
| Oct 29, 2015 at 8:37 | history | answered | abx | CC BY-SA 3.0 |